What is the derivative of xsinh(x-6cosh(x)) ?

The derivative of xsinh(x-6cosh(x)) is xcosh(x)-5sinh(x)

What is the first derivative of xsinh(x-6cosh(x)) ?

The first derivative of xsinh(x-6cosh(x)) is xcosh(x)-5sinh(x)

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\frac{d}{d x} (x sinh (x) - 6 cosh (x))

x cosh (x) - 5 sinh (x)

Solution steps

\frac{d}{d x} (x sinh (x) - 6 cosh (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x sinh (x)) - \frac{d}{d x} (6 cosh (x))

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

\frac{d}{d x} (6 cosh (x)) = 6 sinh (x)

= sinh (x) + x cosh (x) - 6 sinh (x)

Simplify

= x cosh (x) - 5 sinh (x)

\frac{d y}{d x} = 2 y^{2} + 3

\frac{\partial}{\partial x} ((\frac{x}{y})^{2})

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

\int \frac{x ^{2}}{x + 3} d x

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

What is the derivative of xsinh(x-6cosh(x)) ?
The derivative of xsinh(x-6cosh(x)) is xcosh(x)-5sinh(x)
What is the first derivative of xsinh(x-6cosh(x)) ?
The first derivative of xsinh(x-6cosh(x)) is xcosh(x)-5sinh(x)