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

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

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

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

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

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

Solution steps

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

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)

\frac{d}{d x} (\frac{x ^{2}}{y})

\int \frac{1}{1 - u ^{2}} d u

\frac{x - x ^{2}}{x} - 2 cot (x)

t \frac{d y}{d t} - y = y t

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