How to use the chain rule with trigonometric functions

How to use the chain rule with trigonometric functions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of H(x) = sin(x)?

cos(x)

2x

sin(x)

x^2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of G(x) = x^2?

x^2

2x

cos(x)

sin(x)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is applied to find the derivative of a composite function?

Quotient Rule

Product Rule

Chain Rule

Power Rule

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in applying the chain rule?

Multiply by the derivative of the inside function

Divide the derivatives of both functions

Add the derivatives of both functions

Take the derivative of the outside function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of the composite function H(G(x)) where H(x) = sin(x) and G(x) = x^2?

cos(x^2) * 2x

sin(x^2) * 2x

cos(x) * x^2

2x * x^2