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More Trig Derivatives Lesson

More Trig Derivatives Lesson

Assessment

Presentation

•

Mathematics

•

12th Grade

•

Practice Problem

•

Medium

Created by

Joell Raab

Used 6+ times

FREE Resource

4 Slides • 7 Questions

1

More Trig Derivatives
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Watch each video and take notes in your Course Documents. You will upload a picture of the notes in later in this Quizizz.

2

3

Multiple Choice

Find the derivative of f(x)=sin⁡3x⋅cos⁡xf\left(x\right)=\sin^3x\cdot\cos x .

1

f′(x)=3sin⁡2x⋅cos⁡2x−sin⁡4xf'\left(x\right)=3\sin^2x\cdot\cos^2x-\sin^4x

2

f′(x)=3sin⁡6x⋅cos⁡2xf'\left(x\right)=3\sin^6x\cdot\cos^2x

3

f′(x)=−3sin⁡3xf'\left(x\right)=-3\sin^3x

4

f′(x)=cos⁡4x−sin⁡4xf'\left(x\right)=\cos^4x-\sin^4x

4

Multiple Choice

Find the derivative of f(x)=sin⁡4 3x−cos⁡4 3xf\left(x\right)=\sin^4\ 3x-\cos^4\ 3x .

Hint: You'll need to take out a GCF when you simplify to get the final answer.

1

f′(x)=24sin⁡33x⋅cos⁡33xf'\left(x\right)=24\sin^33x\cdot\cos^33x

2

f′(x)=12sin⁡3x⋅cos⁡3xf'\left(x\right)=12\sin3x\cdot\cos3x

3

f′(x)=4sin⁡33x+4cos⁡33xf'\left(x\right)=4\sin^33x+4\cos^33x

4

f′(x)=12cos⁡3x−12sin⁡3xf'\left(x\right)=12\cos3x-12\sin3x

5

Continue to take notes in your Course Documents.

​

Exercises
11 & 12

6

Multiple Choice

Find the derivative of f(x)=(1+cos⁡3x)3f\left(x\right)=\left(1+\cos3x\right)^3 .

1

f′(x)=3(1+cos⁡3x)2f'\left(x\right)=3\left(1+\cos3x\right)^2

2

f′(x)=9(1+cos⁡3x)(sin⁡3x)f'\left(x\right)=9\left(1+\cos3x\right)\left(\sin3x\right)

3

f′(x)=−3(1+cos⁡3x)2(sin⁡3x)f'\left(x\right)=-3\left(1+\cos3x\right)^2\left(\sin3x\right)

4

f′(x)=−9(1+cos⁡3x)2(sin⁡3x)f'\left(x\right)=-9\left(1+\cos3x\right)^2\left(\sin3x\right)

7

8

Multiple Choice

Question image

What is the equation of the tangent line of y=−2tan⁡xy=-2\tan x at (π,0)\left(\pi,0\right)

1

y=−2x−πy=-2x-\pi

2

y=−x+πy=-x+\pi

3

y=−2x−2πy=-2x-2\pi

4

y=−x−2πy=-x-2\pi

9

Multiple Choice

Question image

Find the slope of the tangent line to y=csc⁡x−cot⁡xy=\csc x-\cot x when x=π4x=\frac{\pi}{4} .

1

m=2−2m=2-\sqrt[]{2}

2

m=−22m=-2\sqrt[]{2}

3

m=0m=0

4

m=2+2m=2+\sqrt[]{2}

10

Open Ended

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11

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More Trig Derivatives
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Watch each video and take notes in your Course Documents. You will upload a picture of the notes in later in this Quizizz.

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