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

The derivative of e^{sinh(x}) is e^{sinh(x)}cosh(x)

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

The first derivative of e^{sinh(x}) is e^{sinh(x)}cosh(x)

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\frac{d}{d x} (e^{s i n h (x)})

e^{s i n h (x)} cosh (x)

Solution steps

\frac{d}{d x} (e^{s i n h (x)})

Apply the chain rule:

e^{s i n h (x)} \frac{d}{d x} (sinh (x))

= e^{s i n h (x)} \frac{d}{d x} (sinh (x))

\frac{d}{d x} (sinh (x)) = cosh (x)

= e^{s i n h (x)} cosh (x)

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

n = 0 \sum \infty 1^{n}

\int e^{- a x} sin (x) d x

(2 sec^{2} (x) tan (x))^{^{'}}

\int \frac{1}{( x + 2 ) x ^{2} + 4 x - 12} d x

What is the derivative of e^{sinh(x}) ?
The derivative of e^{sinh(x}) is e^{sinh(x)}cosh(x)
What is the first derivative of e^{sinh(x}) ?
The first derivative of e^{sinh(x}) is e^{sinh(x)}cosh(x)