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

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

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

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

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derivative of

f (x) = 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)

f (x) = \frac{3 x ^{2} + 6 x + 4}{x}

(- 4, \frac{7 π}{6})

8 x + 4 y = 16

y = \frac{x ^{2} + x + 1}{x}

y = x^{4}

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