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Popular >

derivative of sqrt(tan(e^x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

\frac{1}{2 tan ( e ^{x} )} \frac{d}{d x} (tan (e^{x}))

= \frac{1}{2 tan ( e ^{x} )} \frac{d}{d x} (tan (e^{x}))

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

= \frac{1}{2 tan ( e ^{x} )} sec^{2} (e^{x}) e^{x}

Simplify

\frac{1}{2 tan ( e ^{x} )} sec^{2} (e^{x}) e^{x} : \frac{e ^{x} sec ^{2} ( e ^{x} )}{2 tan ( e ^{x} )}

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

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n = 1 \sum \infty (- 1)^{n} n x^{n}

derivative of f(x)=(8x^2+6x+4)/(sqrt(x))derivative of

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\frac{d y}{d t} = t 1 - y^{2}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(tan(e^x)) ?
The derivative of sqrt(tan(e^x)) is (e^xsec^2(e^x))/(2sqrt(tan(e^x)))
What is the first derivative of sqrt(tan(e^x)) ?
The first derivative of sqrt(tan(e^x)) is (e^xsec^2(e^x))/(2sqrt(tan(e^x)))