What is (\partial)/(\partial x)(sin^3(x)) ?

The answer to (\partial)/(\partial x)(sin^3(x)) is 3sin^2(x)cos(x)

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(\partial)/(\partial x)(sin^3(x))

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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What is (\partial)/(\partial x)(sin^3(x)) ?
The answer to (\partial)/(\partial x)(sin^3(x)) is 3sin^2(x)cos(x)