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

The derivative of sin^6(x) is 6sin^5(x)cos(x)

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

The first derivative of sin^6(x) is 6sin^5(x)cos(x)

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derivative of

sin^{6} (x)

6 sin^{5} (x) cos (x)

Solution steps

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

Apply the chain rule:

6 (sin (x))^{5} \frac{d}{d x} (sin (x))

= 6 (sin (x))^{5} \frac{d}{d x} (sin (x))

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

= 6 (sin (x))^{5} cos (x)

Simplify

= 6 sin^{5} (x) cos (x)

\int_{0}^{\frac{1}{3}} 2 arcsin (3 y) d y

\int 9 x e^{8 x} d x

\int (e^{- 3 x} - 1)^{2} d x

\frac{d y}{d x} - 2 y = 2 x

\frac{d}{d x} (x^{\frac{8}{5}})

What is the derivative of sin^6(x) ?
The derivative of sin^6(x) is 6sin^5(x)cos(x)
What is the first derivative of sin^6(x) ?
The first derivative of sin^6(x) is 6sin^5(x)cos(x)