What is the derivative of 4sin^3(x) ?

The derivative of 4sin^3(x) is 12sin^2(x)cos(x)

What is the first derivative of 4sin^3(x) ?

The first derivative of 4sin^3(x) is 12sin^2(x)cos(x)

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\frac{d}{d x} (4 sin^{3} (x))

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

Solution steps

\frac{d}{d x} (4 sin^{3} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (sin^{3} (x))

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)

= 4 \cdot 3 (sin (x))^{2} cos (x)

Simplify

= 12 sin^{2} (x) cos (x)

\frac{d}{d x} ((lo g_{10} (x))^{l o g_{10} (x)})

y^{^{'}} = 2 - y

3 x, x^{2} - 4

\frac{d}{d x} (π cos (π x))

\frac{d P}{d t} + 3 P = 90

What is the derivative of 4sin^3(x) ?
The derivative of 4sin^3(x) is 12sin^2(x)cos(x)
What is the first derivative of 4sin^3(x) ?
The first derivative of 4sin^3(x) is 12sin^2(x)cos(x)