What is (\partial)/(\partial x)(cos^3(x)) ?

The answer to (\partial)/(\partial x)(cos^3(x)) is -3cos^2(x)sin(x)

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(\partial)/(\partial x)(cos^3(x))

\frac{\partial}{\partial x} (cos^{3} (x))

- 3 cos^{2} (x) sin (x)

Solution steps

\frac{\partial}{\partial x} (cos^{3} (x))

Apply the chain rule:

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

= 3 (cos (x))^{2} \frac{\partial}{\partial x} (cos (x))

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

= 3 (cos (x))^{2} (- sin (x))

Simplify

= - 3 cos^{2} (x) sin (x)

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

\frac{\partial}{\partial y} (\frac{4 x}{3 y ^{2} + 1})

x \to 2 lim (3 + x)

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{2}})

sin (x), 5 x, \frac{π}{2}, π

What is (\partial)/(\partial x)(cos^3(x)) ?
The answer to (\partial)/(\partial x)(cos^3(x)) is -3cos^2(x)sin(x)