What is the derivative of 7sin^3(x) ?

The derivative of 7sin^3(x) is 21sin^2(x)cos(x)

What is the first derivative of 7sin^3(x) ?

The first derivative of 7sin^3(x) is 21sin^2(x)cos(x)

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\frac{d}{d x} (7 sin^{3} (x))

21 sin^{2} (x) cos (x)

Solution steps

\frac{d}{d x} (7 sin^{3} (x))

Take the constant out:

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

= 7 \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)

= 7 \cdot 3 (sin (x))^{2} cos (x)

Simplify

= 21 sin^{2} (x) cos (x)

- \frac{1}{x ^{2} ( sec ^{2} ( y ) )}

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

f (x) = 951 + 10 x

\int \frac{1}{4 - 2 x - x ^{2}} d x

\frac{d}{d x} (\frac{5 x + 3}{3 e ^{x}})

What is the derivative of 7sin^3(x) ?
The derivative of 7sin^3(x) is 21sin^2(x)cos(x)
What is the first derivative of 7sin^3(x) ?
The first derivative of 7sin^3(x) is 21sin^2(x)cos(x)