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

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

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

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

- sin (2 x)

Solution steps

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

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)

- \frac{1}{( x - 6 ) ^{2}}

\int csc (4 x) d x

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

\int - \frac{4}{x ^{2}} d x

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