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

The derivative of 3sin^3(x) is 9sin^2(x)cos(x)

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

The first derivative of 3sin^3(x) is 9sin^2(x)cos(x)

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derivative of

3 sin^{3} (x)

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

Solution steps

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

Take the constant out:

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

= 3 \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)

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

Simplify

= 9 sin^{2} (x) cos (x)

ln (- 3 x) + 2

\frac{\partial}{\partial x} (e^{0})

\int \frac{7 x}{e ^{x}} d x

y = sin (x y) + π, (1, π)

f (x) = x^{4} + 3 e^{x}, at x = 0

What is the derivative of 3sin^3(x) ?
The derivative of 3sin^3(x) is 9sin^2(x)cos(x)
What is the first derivative of 3sin^3(x) ?
The first derivative of 3sin^3(x) is 9sin^2(x)cos(x)