What is the derivative of sin(e^x) ?

The derivative of sin(e^x) is cos(e^x)e^x

What is the first derivative of sin(e^x) ?

The first derivative of sin(e^x) is cos(e^x)e^x

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derivative of

sin (e^{x})

cos (e^{x}) e^{x}

Solution steps

\frac{d}{d x} (sin (e^{x}))

Apply the chain rule:

cos (e^{x}) \frac{d}{d x} (e^{x})

= cos (e^{x}) \frac{d}{d x} (e^{x})

\frac{d}{d x} (e^{x}) = e^{x}

= cos (e^{x}) e^{x}

\frac{d}{d x} (3 \frac{8}{x})

\int_{0}^{3} \frac{1}{x ^{2} + 9} d x

x y^{^{'}} + 2 y = 3

\frac{d}{d x} (\frac{x}{x ^{2} + 6})

\frac{8 t}{24} - t^{5}

What is the derivative of sin(e^x) ?
The derivative of sin(e^x) is cos(e^x)e^x
What is the first derivative of sin(e^x) ?
The first derivative of sin(e^x) is cos(e^x)e^x