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)

(x^{2} (x^{2} + 9 x))^{6}

\frac{\partial}{\partial x} (ln (x + y^{2}))

\frac{\partial}{\partial x} (\frac{2 x y}{x + y})

\int w w^{2} - ln (3) d w

x \to 0 lim (\frac{3 x}{x e ^{x}})

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