To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Differentiate using the Exponential Rule which states that is where =.

Reorder the factors of .

Find the Derivative f(x)=sin(e^x)

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# Find the Derivative f(x)=sin(e^x)

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Differentiate using the Exponential Rule which states that is where =.

Reorder the factors of .

Find the Derivative f(x)=sin(e^x)