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

The derivative of sin^3(2x) is 6sin^2(2x)cos(2x)

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

The first derivative of sin^3(2x) is 6sin^2(2x)cos(2x)

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derivative of

sin^{3} (2 x)

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

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

Simplify

= 6 sin^{2} (2 x) cos (2 x)

\frac{d}{d x} (\frac{2 x ^{2} + 6 x + 8}{x})

\frac{\partial}{\partial z} (x y e^{x})

\frac{\partial}{\partial x} ((2 t - 1) (3 t - 6)^{- 1})

\int \frac{x + 1}{x} d x

\frac{d}{d x} (b y (x)^{2})

What is the derivative of sin^3(2x) ?
The derivative of sin^3(2x) is 6sin^2(2x)cos(2x)
What is the first derivative of sin^3(2x) ?
The first derivative of sin^3(2x) is 6sin^2(2x)cos(2x)