What is (\partial)/(\partial x)(cos^2(x)) ?

The answer to (\partial)/(\partial x)(cos^2(x)) is -sin(2x)

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(\partial)/(\partial x)(cos^2(x))

\frac{\partial}{\partial x} (cos^{2} (x))

- sin (2 x)

Solution steps

\frac{\partial}{\partial x} (cos^{2} (x))

Apply the chain rule:

2 cos (x) \frac{\partial}{\partial x} (cos (x))

= 2 cos (x) \frac{\partial}{\partial x} (cos (x))

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

= 2 cos (x) (- sin (x))

Simplify

2 cos (x) (- sin (x)) : - sin (2 x)

= - sin (2 x)

\int (sin (x))^{3} (cos (x))^{2} d x

\frac{d}{d x} (ln (324 sin^{2} (x)))

\frac{d y}{d x} - 5 y = 8

\frac{\partial}{\partial x} (y e^{\frac{x}{z}})

\int \frac{4}{3 x + 2} d x

What is (\partial)/(\partial x)(cos^2(x)) ?
The answer to (\partial)/(\partial x)(cos^2(x)) is -sin(2x)