What is the derivative of 1/3 cos^3(x) ?

The derivative of 1/3 cos^3(x) is -cos^2(x)sin(x)

What is the first derivative of 1/3 cos^3(x) ?

The first derivative of 1/3 cos^3(x) is -cos^2(x)sin(x)

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\frac{d}{d x} (\frac{1}{3} cos^{3} (x))

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

Solution steps

\frac{d}{d x} (\frac{1}{3} cos^{3} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} \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)

= \frac{1}{3} \cdot 3 (cos (x))^{2} (- sin (x))

Simplify

\frac{1}{3} \cdot 3 cos^{2} (x) (- sin (x)) : - cos^{2} (x) sin (x)

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

\int \frac{205 x}{25 - x ^{4}} d x

\frac{\partial}{\partial x} (x^{- 3} y^{- 4})

x, 0

(x + 4 y) d x + 2 x d y = 0

What is the derivative of 1/3 cos^3(x) ?
The derivative of 1/3 cos^3(x) is -cos^2(x)sin(x)
What is the first derivative of 1/3 cos^3(x) ?
The first derivative of 1/3 cos^3(x) is -cos^2(x)sin(x)