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

The derivative of e^{xsinh(x}) is e^{xsinh(x)}(sinh(x)+xcosh(x))

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

The first derivative of e^{xsinh(x}) is e^{xsinh(x)}(sinh(x)+xcosh(x))

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

x \to \infty lim (2 x + 3)

\int \frac{4}{x ^{2} + 16} d x

f (v) = (v^{- 3} + 6 v^{- 2})^{3}

f (x) = \frac{3}{x + 1}

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