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

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

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

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

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\frac{d}{d x} (e^{s e c (x)})

e^{s e c (x)} sec (x) tan (x)

Solution steps

\frac{d}{d x} (e^{s e c (x)})

Apply the chain rule:

e^{s e c (x)} \frac{d}{d x} (sec (x))

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

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

= e^{s e c (x)} sec (x) tan (x)

\int \frac{6 x ^{3} + 4 x ^{2} - 45 x - 33}{x ^{2} - 9} d x

x + 7, 0.5 (x + 7)

\int_{1}^{3} (4 x - x^{2}) d x

\int \frac{1}{x ^{2} + 2 x + 122} d x

\frac{csc ^{2} ( x )}{4}, 4 sin^{2} (x)

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