What is the derivative of cos^3(x) ?

The derivative of cos^3(x) is -3cos^2(x)sin(x)

What is the first derivative of cos^3(x) ?

The first derivative of cos^3(x) is -3cos^2(x)sin(x)

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derivative of

cos^{3} (x)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{1}{s ^{2} ( s ^{2} + 9 )}

y^{^{'}} - \frac{6}{x} y = \frac{y ^{4}}{x ^{15}}

x \to 1 lim (x^{\frac{9}{1 - x}})

- 6 sin (t)

\int \frac{1}{v ln ( v ) - v} d v

What is the derivative of cos^3(x) ?
The derivative of cos^3(x) is -3cos^2(x)sin(x)
What is the first derivative of cos^3(x) ?
The first derivative of cos^3(x) is -3cos^2(x)sin(x)