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

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

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

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

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derivative of

cos (e^{x})

- sin (e^{x}) e^{x}

Solution steps

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

Apply the chain rule:

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

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

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

= - sin (e^{x}) e^{x}

\int_{1}^{\infty} 3^{- x} d x

\int_{0}^{3} 5 d x

\int - ln (1 - x) d x

x + y = 2

\int cos^{3} (\frac{x}{18}) d x

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