What is the derivative of-8cos^3(x) ?

The derivative of-8cos^3(x) is 24cos^2(x)sin(x)

What is the first derivative of-8cos^3(x) ?

The first derivative of-8cos^3(x) is 24cos^2(x)sin(x)

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\frac{d}{d x} (- 8 cos^{3} (x))

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

Solution steps

\frac{d}{d x} (- 8 cos^{3} (x))

Take the constant out:

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

= - 8 \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)

= - 8 \cdot 3 (cos (x))^{2} (- sin (x))

Simplify

= 24 cos^{2} (x) sin (x)

\int 1 - x^{2} - 3 x^{5} d x

x^{2} - 5 x

\frac{5 s}{( s + 7 ) ( s ^{2} + 4 )}

\int_{0}^{2} \frac{30 t ^{2}}{4 + t ^{3}} d t

\int \frac{x ^{3} + x}{x + 1} d x

What is the derivative of-8cos^3(x) ?
The derivative of-8cos^3(x) is 24cos^2(x)sin(x)
What is the first derivative of-8cos^3(x) ?
The first derivative of-8cos^3(x) is 24cos^2(x)sin(x)