What is the derivative of f(x)=tan(e^x) ?

The derivative of f(x)=tan(e^x) is sec^2(e^x)e^x

What is the first derivative of f(x)=tan(e^x) ?

The first derivative of f(x)=tan(e^x) is sec^2(e^x)e^x

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derivative of

f (x) = tan (e^{x})

sec^{2} (e^{x}) e^{x}

Solution steps

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

Apply the chain rule:

sec^{2} (e^{x}) \frac{d}{d x} (e^{x})

= sec^{2} (e^{x}) \frac{d}{d x} (e^{x})

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

= sec^{2} (e^{x}) e^{x}

\frac{x ^{2} - 5 x}{x + 1}

n = 0 \sum \infty \frac{5 ^{n}}{n !}

\int 8 e^{- 2 x} d x

x^{2} cos (x), π

\int \frac{1}{2 ^{x}} d x

What is the derivative of f(x)=tan(e^x) ?
The derivative of f(x)=tan(e^x) is sec^2(e^x)e^x
What is the first derivative of f(x)=tan(e^x) ?
The first derivative of f(x)=tan(e^x) is sec^2(e^x)e^x