In this question, the function f is differentiable, and f'(x) = g(x). We don't know exactly what f(x) or g(x) are, so your answers will have f(x) and g(x) in them.Compute the derivatives of the following function.esin⁡(f(x))

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In this question, the function f is differentiable, and f&#039;(x) = g(x). We don&#039;t know exactly what f(x) or g(x) are, so your answers will have f(x) and g(x) in them.Compute the derivatives of the following function.esin⁡(f(x))

Raheem Donnelly · Accepted Answer

Use chain rule to compute the derivatives.ddx(esin⁡(f(x)))=dd(sin⁡(f(x)))(esin⁡(f(x)))×dd(f(x))(sin⁡(f(x)))×ddxf(x)=esin⁡(f(x))×cos⁡(f(x))×f′(x)=esin⁡(f(x))×cos⁡(f(x))×g(x)=esin⁡(f(x))g(x)cos⁡(f(x))

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

Jeffrey Jordon · Accepted Answer

Answer is given below (on video)

In this question, the function f is differentiable, and f'(x) = g(x). We don't know...

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