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Derivatives #2: Trig Derivatives with the Chain Rule

Authored by Eve Ricketts

Mathematics

11th - 12th Grade

CCSS covered

Used 267+ times

Derivatives #2: Trig Derivatives with the Chain Rule
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15 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Derivative of cotx

cosx 
csc2x
-csc2x
cos2x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Derivatve of secx

sec2x
secxtanx
-secxtanx
tan2x

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a function has a derivative that is negative, what does that tell you?

The function is increasing
The function is decreasing

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the derivative f(x) = (x2 + 2x)5

f'(x) = 5(2x+2)4
f'(x) = 5(x2 + 2x)4
 f'(x) = 5(x2 + 2x)4(2x)
f'(x) = 5(x2 + 2x)4(2x + 2)

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the equation of the tangent line at the given point.

y+1=3(x+1)
y+1=⅓(x+1)
y-1=3(x+1)
y=3x-1

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is -sinx the derivative of?

sinx

-sinx

cosx

-cosx

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find dy/dx if y = cos5x

5cos4x
-5sin4x
5cos4xsinx
-5cos4xsinx

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