What is (\partial)/(\partial x)(sin^4(x)) ?

The answer to (\partial)/(\partial x)(sin^4(x)) is 4sin^3(x)cos(x)

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(\partial)/(\partial x)(sin^4(x))

\frac{\partial}{\partial x} (sin^{4} (x))

4 sin^{3} (x) cos (x)

Solution steps

\frac{\partial}{\partial x} (sin^{4} (x))

Apply the chain rule:

4 (sin (x))^{3} \frac{\partial}{\partial x} (sin (x))

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

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

= 4 (sin (x))^{3} cos (x)

Simplify

= 4 sin^{3} (x) cos (x)

(- 4, 6), (3, - 8)

\int (4 x^{3} - 2) x^{2} d x

n = 1 \sum \infty \frac{n !}{5 ^{n}}

f (x) = \frac{1}{x ^{16}}

\int \frac{x ^{3}}{3} d x

What is (\partial)/(\partial x)(sin^4(x)) ?
The answer to (\partial)/(\partial x)(sin^4(x)) is 4sin^3(x)cos(x)