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Turunan Fungsi Aljabar

Turunan Fungsi Aljabar

Assessment

Presentation

•

Mathematics

•

11th Grade

•

Hard

Created by

Yohannes 21003

Used 2+ times

FREE Resource

17 Slides • 26 Questions

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Turunan Fungsi Aljabar

By Yohannes 21003

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Multiple Choice

Jika f(x)=3f\left(x\right)=3  maka  f′(x)=...f'\left(x\right)=...  

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Fill in the Blanks

Jika f(x)=5f\left(x\right)=5 , maka f′(x)=f'\left(x\right)=  

Type answer...

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Multiple Choice

Turunan pertama  f(x)=x−2f\left(x\right)=x^{-2}  adalah ...

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f′(x)=2x3f'\left(x\right)=2x^3  

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f′(x)=−2x−1f'\left(x\right)=-2x^{-1}  

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f′(x)=−2x−3f'\left(x\right)=-2x^{-3}  

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f′(x)=2x−3f'\left(x\right)=2x^{-3}  

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Draw

g(x)=3x−8g\left(x\right)=3x^{-8}  turunan pertamanya adalah ....

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Multiple Choice

Turunan pertama fungsi f(x)=x=x12f\left(x\right)=\sqrt{x}=x^{\frac{1}{2}}  adalah ...

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f′(x)=12x−12=12xf'\left(x\right)=\frac{1}{2}x^{-\frac{1}{2}}=\frac{1}{2\sqrt{x}}  

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f′(x)=12x12=12xf'\left(x\right)=\frac{1}{2}x^{\frac{1}{2}}=\frac{1}{2}\sqrt{x}  

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f(x)=12x32=12xxf\left(x\right)=\frac{1}{2}x^{\frac{3}{2}}=\frac{1}{2}x\sqrt{x}  

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Multiple Choice

k(x)=2x4k\left(x\right)=\frac{2}{x^4}  ini turunan nya apa?

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k ′ (x)=−8x5k\ '\ \left(x\right)=-\frac{8}{x^5}  

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k ′ (x)=−8x5k\ '\ \left(x\right)=-8x^5  

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k ′ (x)=8x5k\ '\ \left(x\right)=\frac{8}{x^5}  

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k ′ (x)=−3x5k\ '\ \left(x\right)=-\frac{3}{x^5}  

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k ′ (x)=−5x5k\ '\ \left(x\right)=-\frac{5}{x^5}  

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Open Ended

Jika diketahui  f(x)f\left(x\right)  = 5x\frac{5}{\sqrt{x}}  maka  f′(x)f'\left(x\right)  adalah ...

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Multiple Choice

Nilai turunan pertama dari f(x)= 3xxf\left(x\right)=\ \frac{3}{x\sqrt{x}}  adalah....

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92x2x\frac{9}{2x^2\sqrt{x}}  

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−92x2x-\frac{9}{2x^2\sqrt{x}}  

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82x2x\frac{8}{2x^2\sqrt{x}}  

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−82x2x-\frac{8}{2x^2\sqrt{x}}  

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92xx\frac{9}{2x\sqrt{x}}  

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Multiple Choice

Jika  f(x)=−5xf\left(x\right)=-5x , maka  f′(x)=...f'\left(x\right)=...  

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-5

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Multiple Choice

Nilai dari x4 + 2x3 − 7x2 −8x^4\ +\ 2x^3\ -\ 7x^2\ -8   adalah....

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4x4+6x2−14x−84x^4+6x^2-14x-8  

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4x3−6x2−14x−84x^3-6x^2-14x-8  

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4x3+6x2−14x4x^3+6x^2-14x  

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5x4+6x2+14x5x^4+6x^2+14x  

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x4−2x2−14xx^4-2x^2-14x  

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Multiple Choice

Turunan pertama dari  f(x) = 12x4+23x3−4x +1 \ f\left(x\right)\ =\ \frac{1}{2}x^4+\frac{2}{3}x^3-4x\ +1\ adalah f ’(x) = .…

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x3+x2–2x^3+x^2–2  

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x3+2x2–4x^3+2x^2–4  

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2x3+2x2–42x^3+2x^2–4  

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2x3+2x2–4x2x^3+2x^2–4x  

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2x3+2x2–4x+12x^3+2x^2–4x+1  

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Multiple Choice

Apabila f(x)=x2−1x+1f\left(x\right)=x^2-\frac{1}{x}+1  , maka  f′(x)f'\left(x\right)  adalah..

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x−x2x-x^2  

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x+x2x+x^2  

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2x+x2+12x+x^2+1  

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2x−x2+12x-x^2+1  

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2x+x22x+x^2  

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Multiple Choice

Tentukan Turunan pertama dari f(x)=1x2+ 3x2−5x3f(x)=\frac{1}{x^2}+\ 3x^2-\frac{5}{x^3}    !

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−2x3−6x −15x4-\frac{2}{x^3}-6x\ -\frac{15}{x^4}  

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−2x3+6x +15x4-\frac{2}{x^3}+6x\ +\frac{15}{x^4}  

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−2x3−6x +15x4-\frac{2}{x^3}-6x\ +\frac{15}{x^4}  

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2x3+6x +15x4\frac{2}{x^3}+6x\ +\frac{15}{x^4}  

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Multiple Choice

Jika g(x)= 1x+x2−2xg\left(x\right)=\ \frac{1}{x}+x^2-\sqrt{2x}  maka  g′(x)g'\left(x\right)  adalah..

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−1x2+3x2−12x-\frac{1}{x^2}+3x^2-\frac{1}{\sqrt{2x}}  

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1x2+x2−2\frac{1}{x^2}+x^2-2  

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−x3+3x2+122x-x^3+3x^2+\frac{1}{2}\sqrt{2x}  

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1x2+3x2−2\frac{1}{x^2}+3x^2-2  

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1x2+3x2+122x\frac{1}{x^2}+3x^2+\frac{1}{2}\sqrt{2x}  

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Multiple Choice

Turunan pertama dari f(x)=6x2 + 2x −42x3f\left(x\right)=\frac{6x^2\ +\ 2x\ -4}{2x^3}  adalah....

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−3x2−2x3+6x4\frac{-3}{x^2}-\frac{2}{x^3}+\frac{6}{x^4}  

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3x2−2x3+6x4\frac{3}{x^2}-\frac{2}{x^3}+\frac{6}{x^4}  

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−3x2+2x3+6x4\frac{-3}{x^2}+\frac{2}{x^3}+\frac{6}{x^4}  

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−3x2−2x3−6x4\frac{-3}{x^2}-\frac{2}{x^3}-\frac{6}{x^4}  

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3x2+2x3+6x4\frac{3}{x^2}+\frac{2}{x^3}+\frac{6}{x^4}  

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Multiple Choice

turunin yuk h(t)=t13−3th\left(t\right)=t^{\frac{1}{3}}-3t  

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h ′ (t)=13t−23−3 h\ '\ \left(t\right)=\frac{1}{3}t^{-\frac{2}{3}}-3\  

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h ′ (t)=13t−23h\ '\ \left(t\right)=\frac{1}{3}t^{-\frac{2}{3}}  

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h ′ (t)=−3 h\ '\ \left(t\right)=-3\  

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h ′ (t)=13t−3 h\ '\ \left(t\right)=\frac{1}{3}t^{ }-3\  

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gatau ah >∼<gatau\ ah\ >\sim<  

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Multiple Choice

Turunan pertama dari y=(x2−1)(x3+3)y=\left(x^2-1\right)\left(x^3+3\right)  adalah ....

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x5−x3+3x2−3x^5-x^3+3x^2-3  

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5x4+3x2+6x5x^4+3x^2+6x  

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5x4−3x2+6x5x^4-3x^2+6x  

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5x4−3x2−6x5x^4-3x^2-6x  

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x4−x2+xx^4-x^2+x  

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Multiple Choice

Turunan pertama untuk fungsi f(x)=(2x+1)(x2+3x)f\left(x\right)=\left(2x+1\right)\left(x^2+3x\right) adalah ... 

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f′(x)=6x2+14x+3f'\left(x\right)=6x^2+14x+3  

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f′(x)=3x2+14x+3f'\left(x\right)=3x^2+14x+3  

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f′(x)=6x2+9x+3f'\left(x\right)=6x^2+9x+3  

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f′(x)=6x2+14x−3f'\left(x\right)=6x^2+14x-3  

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f′(x)=6x2−14x+3f'\left(x\right)=6x^2-14x+3  

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Multiple Choice

Turunan fungsi f(x)=2x+1x−4f\left(x\right)=\frac{2x+1}{x-4}  

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−7(x−4)2\frac{-7}{\left(x-4\right)^2}  

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7(x−4)2\frac{7}{\left(x-4\right)^2}  

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−9(x−4)2\frac{-9}{\left(x-4\right)^2}  

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9(x−4)2\frac{9}{\left(x-4\right)^2}  

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−10(x−4)2\frac{-10}{\left(x-4\right)^2}  

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Multiple Choice

Turunan dari f(x)=2x−14x+3,x≠34f\left(x\right)=\frac{2x-1}{4x+3},x\ne\frac{3}{4}  adalah ....

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f′(x)=−10(4x+3)2f'\left(x\right)=\frac{-10}{\left(4x+3\right)^2}  

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f′(x)=−5(4x+3)2f'\left(x\right)=\frac{-5}{\left(4x+3\right)^2}  

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f′(x)=2(4x+3)2f'\left(x\right)=\frac{2}{\left(4x+3\right)^2}  

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f′(x)=5(4x+3)2f'\left(x\right)=\frac{5}{\left(4x+3\right)^2}  

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f′(x)=10(4x+3)2f'\left(x\right)=\frac{10}{\left(4x+3\right)^2}  

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Multiple Choice

Turunan pertama dari f(x)=x2−35x+2f\left(x\right)=\frac{x^2-3}{5x+2}  adalah  f′(x)f'\left(x\right) . Nilai dari  f′(0)=....f'\left(0\right)=....   

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−174-\frac{17}{4}  

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−154-\frac{15}{4}  

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64\frac{6}{4}  

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154\frac{15}{4}  

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174\frac{17}{4}  

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Multiple Choice

Turunan dari (3x2+5)4\left(3x^2+5\right)^4  adalah ....

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12(3x2+5)312\left(3x^2+5\right)^3  

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24x(3x2+5)324x\left(3x^2+5\right)^3  

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12x(3x2+5)312x\left(3x^2+5\right)^3  

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24(3x2+5)324\left(3x^2+5\right)^3  

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Multiple Choice

Turunan dari fungsi f(x)=(2x6+4x2)5f\left(x\right)=\left(2x^6+4x^2\right)^5 adalah  f′(x)=...f'\left(x\right)=...  

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5(2x6+4x2)4.(12x5+8x)5\left(2x^6+4x^2\right)^4.\left(12x^5+8x\right)  

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5(2x6+4x2)45\left(2x^6+4x^2\right)^4  

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5(2x6+4x2)4(12x)5\left(2x^6+4x^2\right)^4\left(12x\right)  

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Multiple Choice

Turunan pertama fungsi f(x)=(x2+3x−5)2f\left(x\right)=\left(x^2+3x-5\right)^2  adalah ...

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f′(x)=(4x+6)(x2+3x−5)f'\left(x\right)=\left(4x+6\right)\left(x^2+3x-5\right)

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f′(x)=(2x+3)(x2+3x−5)f'\left(x\right)=\left(2x+3\right)\left(x^2+3x-5\right)  

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f′(x)=x2+3x−5f'\left(x\right)=x^2+3x-5  

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(4x+3)(x2+3x−5)\left(4x+3\right)\left(x^2+3x-5\right)  

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Multiple Choice

Nilai turunan pertama dari f(x)= 2x+4f\left(x\right)=\ \sqrt{2x+4}  adalah....

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12x+4\frac{1}{\sqrt{2x+4}}  

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22x+4\frac{2}{\sqrt{2x+4}}  

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−12x+4\frac{-1}{\sqrt{2x+4}}  

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−22x+4\frac{-2}{\sqrt{2x+4}}  

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32x+4\frac{3}{\sqrt{2x+4}}  

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Multiple Choice

Turunan fungsi 2x5−6x+1\sqrt{2x^5-6x+1}  adalah....

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10x4−62x5−6x+1\frac{10x^4-6}{\sqrt{2x^5-6x+1}}  

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(10x4−6)2x5−6x+1\left(10x^4-6\right)\sqrt{2x^5-6x+1}  

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(10x4–6) (2x5+6x +1)32(10x^4–6)\ \left(2x^5+6x\ +1\right)^{\frac{3}{2}}  

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5x4−32x5−6x+1\frac{5x^4-3}{\sqrt{2x^5-6x+1}}  

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110x4−6\frac{1}{\sqrt{10x^4-6}}  

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Turunan Fungsi Aljabar

By Yohannes 21003

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