What is the derivative of cosh^4(x) ?

The derivative of cosh^4(x) is 4cosh^3(x)sinh(x)

What is the first derivative of cosh^4(x) ?

The first derivative of cosh^4(x) is 4cosh^3(x)sinh(x)

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\frac{d}{d x} (cosh^{4} (x))

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

Solution steps

\frac{d}{d x} (cosh^{4} (x))

Apply the chain rule:

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

= 4 (cosh (x))^{3} \frac{d}{d x} (cosh (x))

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

= 4 (cosh (x))^{3} sinh (x)

Simplify

= 4 cosh^{3} (x) sinh (x)

\frac{d}{d x} (- \frac{8 x}{( x ^{2} - 4 ) ^{2}})

\int (cos (8 x) - csc^{2} (x)) d x

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

n = 1 \sum \infty \frac{3 ^{n + 2}}{5 ^{n}}

(r^{5} - 4 r) e^{r}

What is the derivative of cosh^4(x) ?
The derivative of cosh^4(x) is 4cosh^3(x)sinh(x)
What is the first derivative of cosh^4(x) ?
The first derivative of cosh^4(x) is 4cosh^3(x)sinh(x)