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)

sin (m^{2}) x

\frac{1}{( s + 3 ) ^{2}}

2 x^{3} - 24 x^{1} - 35

4 x^{3} + 5

(x + 1)^{3} \cdot (5 - x)

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)