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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\frac{d}{d x} ((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)

x \to 0 lim (\frac{x ^{2}}{x})

f (x) = x^{2} + 9

\frac{d}{d x} (x^{2} sin (π x))

\frac{d y}{d x} = y sec^{2} (x)

\int 8 x e^{0.5 x^{2}} d 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)