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

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

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

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

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

- 3 sin^{2} (x) cos (x)

Solution steps

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

Take the constant out:

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

= - \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 (sin (x))^{2} cos (x)

Simplify

= - 3 sin^{2} (x) cos (x)

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\int \frac{( 2 x - 1 )}{( x - 1 ) ( x - 2 ) ( 2 x - 3 )} d x

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

\int \frac{1}{t - 1} d t

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