How to use the chain rule with trigonometric functions

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Mathematics
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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
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