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

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

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

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

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derivative of

f (x) = 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)

s im pl i f y ln (\frac{1}{x})

\int e^{3 x + 2} d x

\frac{d}{d x} (e^{x^{2} + 3})

\int \frac{1}{2 y + y ^{2}} d y

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

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