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

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

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

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

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derivative of

(sin (x))^{3}

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

Solution steps

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

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)

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

Simplify

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

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