Derivative of e^(cos(x))

Derivative of e^(cos(x))

Answer

-e^cos(x)*sin(x)

Rule Used

Exponential Rule

Steps

1. Recognize the exponential function.
2. Apply the rule: d/dx e^(f(x)) = f'(x)·e^(f(x)).
3. Final answer: -e^cos(x)*sin(x)

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