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))

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)

x \to 0 lim (x + 1 - 1)

\int \frac{4 x ^{2} + 4}{( x ^{2} - 2 x + 2 ) ^{2}} d x

\frac{\partial}{\partial y} (ln (x^{2} + y^{2} + 1))

\frac{\partial}{\partial x} (3 - \frac{e ^{y}}{e ^{x + 1}})

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)