Question
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
.
.
For the composite function
not use identity functions for
Ask by Clark Mckenzie. in the United States
Mar 31,2025
Upstudy AI Solution
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
.