What is the derivative of (sin(6x))^4 ?

The derivative of (sin(6x))^4 is 24sin^3(6x)cos(6x)

What is the first derivative of (sin(6x))^4 ?

The first derivative of (sin(6x))^4 is 24sin^3(6x)cos(6x)

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derivative of

(sin (6 x))^{4}

24 sin^{3} (6 x) cos (6 x)

Solution steps

\frac{d}{d x} ((sin (6 x))^{4})

Apply the chain rule:

4 (sin (6 x))^{3} \frac{d}{d x} (sin (6 x))

= 4 (sin (6 x))^{3} \frac{d}{d x} (sin (6 x))

\frac{d}{d x} (sin (6 x)) = cos (6 x) \cdot 6

= 4 (sin (6 x))^{3} cos (6 x) \cdot 6

Simplify

= 24 sin^{3} (6 x) cos (6 x)

\int_{1}^{e} x^{3} ln (x) d x

\frac{d}{d x} (\frac{x}{20})

y = 7 e^{x} + x, (0, 7)

4

\int_{0}^{6} x^{2} - 6 x d x

What is the derivative of (sin(6x))^4 ?
The derivative of (sin(6x))^4 is 24sin^3(6x)cos(6x)
What is the first derivative of (sin(6x))^4 ?
The first derivative of (sin(6x))^4 is 24sin^3(6x)cos(6x)