З н а й т и п о х і д н у ф у н к ц і ї f ( x ) = 2 x Знайти\ похідну\ функції\ f\left(x\right)=2\sqrt{x} З н а й т и п о х і д н у ф у н к ц і ї f ( x ) = 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 x \frac{1}{\sqrt{x}} x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

1 2 x \frac{1}{2\sqrt{x}} 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

2 x 2\sqrt{x} 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

1 4 x \frac{1}{4\sqrt{x}} 4 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

Знайти похідну : f(x)= 5 x − 1 \sqrt{5x-1} 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

5 2 5 x − 1 \frac{5}{2\sqrt{5x-1}} 2 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 5

2 5 5 x − 1 \frac{2}{5\sqrt{5x-1}} 5 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2

- 5 2 5 x − 1 \frac{5}{2\sqrt{5x-1}} 2 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 5

- 2 5 5 x − 1 \frac{2}{5\sqrt{5x-1}} 5 5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 2

Похідна

Authored by Мирослава Долинюк

Mathematics

10th Grade

CCSS covered

Used 16+ times

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9 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$Знайти\ похідну\ функції\ f\left(x\right)=2\sqrt{x}$

$\frac{1}{2\sqrt{x}}$

$\frac{1}{\sqrt{x}}$

$2\sqrt{x}$

$\frac{1}{4\sqrt{x}}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Знайти похідну: f(x)=х⁵

5х⁴

5х

х⁴

4х⁴

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Знайти похідну: f(x)=sin 4x

cos4x

-cos x

4cos4x

-4cos4x

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Знайти похідну: f(x)= $\sqrt{5x-1}$

$\frac{5}{2\sqrt{5x-1}}$

$\frac{2}{5\sqrt{5x-1}}$

- $\frac{5}{2\sqrt{5x-1}}$

- $\frac{2}{5\sqrt{5x-1}}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Знайти похідну: f(x)=х(х²-1)

3х²-1

х²-1

3х²+1

х²+1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

f'(5) при f(x)=x²

Знайдіть значення похідної y=x²в точці x=-1

-2

-2x

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$y=x^{10}+x^5+x$

$10x^9+5x^4+1$

$9x^9+5x^5+1$

$9x^{10}+4x^5+1$

$10x^9+4x^5+1$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Знайдіть кутовий коефіцієнт дотичної, проведеної до графіка функції f(х) = $x^2$ в точці з абсцисою $x_0$ = -1.

-2

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Похідна

Знайти похідну функції f(x)=2xЗнайти\ похідну\ функції\ f\left(x\right)=2\sqrt{x}Знайти похідну функції f(x)=2x​

Знайти похідну: f(x)=х5

Знайти похідну: f(x)=sin 4x

Знайти похідну: f(x)= 5x−1\sqrt{5x-1}5x−1​

Знайти похідну: f(x)=х(х2-1)

f'(5) при f(x)=x2

Знайдіть значення похідної y=x2 в точці x=-1

y=x10+x5+xy=x^{10}+x^5+xy=x10+x5+x

Знайдіть кутовий коефіцієнт дотичної, проведеної до графіка функції f(х) = x2x^2x2 в точці з абсцисою x0x_0x0​ = -1.

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Popular Resources on Wayground

Discover more resources for Mathematics

$Знайти\ похідну\ функції\ f\left(x\right)=2\sqrt{x}$

Знайти похідну: f(x)=х⁵

Знайти похідну: f(x)= $\sqrt{5x-1}$

Знайти похідну: f(x)=х(х²-1)

f'(5) при f(x)=x²

Знайдіть значення похідної y=x²в точці x=-1

$y=x^{10}+x^5+x$

Знайдіть кутовий коефіцієнт дотичної, проведеної до графіка функції f(х) = $x^2$ в точці з абсцисою $x_0$ = -1.