What is the derivative of 8sin^3(x) ?

The derivative of 8sin^3(x) is 24sin^2(x)cos(x)

What is the first derivative of 8sin^3(x) ?

The first derivative of 8sin^3(x) is 24sin^2(x)cos(x)

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\frac{d}{d x} (8 sin^{3} (x))

24 sin^{2} (x) cos (x)

Solution steps

\frac{d}{d x} (8 sin^{3} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 8 \frac{d}{d x} (sin^{3} (x))

Apply the chain rule:

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

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

\frac{d}{d x} (sin (x)) = cos (x)

= 8 \cdot 3 (sin (x))^{2} cos (x)

Simplify

= 24 sin^{2} (x) cos (x)

\int (8 x + 4) e^{(x^{2} + x)} d x

f (x) = x^{2} - tan (x)

\int_{0}^{1} \frac{x}{x ^{2} + 4 x + 4} d x

\frac{\partial}{\partial x} (e^{- 6 x^{2} - 3 y^{2}})

\frac{( x + 1 )}{x ^{2} + 1}

What is the derivative of 8sin^3(x) ?
The derivative of 8sin^3(x) is 24sin^2(x)cos(x)
What is the first derivative of 8sin^3(x) ?
The first derivative of 8sin^3(x) is 24sin^2(x)cos(x)