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

The derivative of sinh^3(2x) is 6sinh^2(2x)cosh(2x)

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

The first derivative of sinh^3(2x) is 6sinh^2(2x)cosh(2x)

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sinh (2 x)) = cosh (2 x) \cdot 2

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

Simplify

= 6 sinh^{2} (2 x) cosh (2 x)

\int \frac{2 x ^{2} - 25 x - 33}{( x + 1 ) ^{2} ( x - 5 )} d x

3 e^{5 x} \frac{d y}{d x} = \frac{- 25 x}{y ^{2}}, y (0) = 1

x \to 2 lim ((x - 1) (x + 1))

(cos (5 x)) y^{^{'}} + 5 (tan (5 x)) y = 2 sec (5 x)

2 x^{2} + 12, [- 5, 0]

What is the derivative of sinh^3(2x) ?
The derivative of sinh^3(2x) is 6sinh^2(2x)cosh(2x)
What is the first derivative of sinh^3(2x) ?
The first derivative of sinh^3(2x) is 6sinh^2(2x)cosh(2x)