Question
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Attempt 2:9 attempts remaining.
For the composite function , identify an inside and outside function. Write the derivative of the composite function with respect to . Do
not use identity functions for or .
.

Ask by Clark Mckenzie. in the United States
Mar 31,2025

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Tutor-Verified Answer

Answer

  • Inside function:
  • Outside function: where
  • Derivative:

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Extra Insights

In the composite function , the inside function is and the outside function is . This means that needs to be evaluated first and then plugged into .
To find the derivative of the composite function with respect to , we will use the chain rule. The derivative is given by:
where is the derivative of the outside function evaluated at , and is the derivative of the inside function with respect to .

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