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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derivative of

- 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)

\frac{\partial}{\partial x} (2 y sin (x) - x^{3} + ln (y))

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

\int 5 x + x d x

\frac{x ( x + 1 ) d y}{d x} + x y = 1, y (e) = 1

y = \frac{4 x - 7 - x}{5}

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)