What is the derivative of cosh^3(x) ?

The derivative of cosh^3(x) is 3cosh^2(x)sinh(x)

What is the first derivative of cosh^3(x) ?

The first derivative of cosh^3(x) is 3cosh^2(x)sinh(x)

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\frac{d}{d x} (cosh^{3} (x))

3 cosh^{2} (x) sinh (x)

Solution steps

\frac{d}{d x} (cosh^{3} (x))

Apply the chain rule:

3 (cosh (x))^{2} \frac{d}{d x} (cosh (x))

= 3 (cosh (x))^{2} \frac{d}{d x} (cosh (x))

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

= 3 (cosh (x))^{2} sinh (x)

Simplify

= 3 cosh^{2} (x) sinh (x)

\int (10 x + 6) d x

\frac{d}{d x} (\frac{x ^{2}}{5})

\int \frac{5 ln ( x )}{x ^{3}} d x

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 cos (2 x) + 4 x^{2}

cot^{2} (cos (x))

What is the derivative of cosh^3(x) ?
The derivative of cosh^3(x) is 3cosh^2(x)sinh(x)
What is the first derivative of cosh^3(x) ?
The first derivative of cosh^3(x) is 3cosh^2(x)sinh(x)