What is the derivative of e^{tan(x)} ?

The derivative of e^{tan(x)} is e^{tan(x)}sec^2(x)

What is the first derivative of e^{tan(x)} ?

The first derivative of e^{tan(x)} is e^{tan(x)}sec^2(x)

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derivative of

e^{t a n (x)}

e^{t a n (x)} sec^{2} (x)

Solution steps

\frac{d}{d x} (e^{t a n (x)})

Apply the chain rule:

e^{t a n (x)} \frac{d}{d x} (tan (x))

= e^{t a n (x)} \frac{d}{d x} (tan (x))

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

= e^{t a n (x)} sec^{2} (x)

f (x) = \frac{x}{x ^{2} + 64}

2 (1 - e^{- t})

n = 1 \sum \infty n (\frac{3}{4})^{n}

f (x) = \frac{sin ( x )}{x ^{2}}

y = (\frac{5}{x} + x) (\frac{5}{x} - x)

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