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)

\frac{1}{4} y^{^{''}} + 4 y = tan (4 t) - \frac{1}{2} e^{3 t}

x \to 0 lim (\frac{1 1 ^{x} - 1 0 ^{x}}{x})

\frac{d}{d x} (ln (sec (3 x)))

\frac{d y}{d t} = 0.5 y

G (t) = \frac{4 t}{t + 5}

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)