What is the derivative of cos^3(4x) ?

The derivative of cos^3(4x) is -12cos^2(4x)sin(4x)

What is the first derivative of cos^3(4x) ?

The first derivative of cos^3(4x) is -12cos^2(4x)sin(4x)

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\frac{d}{d x} (cos^{3} (4 x))

- 12 cos^{2} (4 x) sin (4 x)

Solution steps

\frac{d}{d x} (cos^{3} (4 x))

Apply the chain rule:

3 (cos (4 x))^{2} \frac{d}{d x} (cos (4 x))

= 3 (cos (4 x))^{2} \frac{d}{d x} (cos (4 x))

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

= 3 (cos (4 x))^{2} (- sin (4 x) \cdot 4)

Simplify

= - 12 cos^{2} (4 x) sin (4 x)

x \to 2 lim (x^{3} + 2 x + 1)

(3, - 8), (- 5, - 7)

\int 7 x^{\frac{3}{2}} d x

y = \frac{3 x - 7}{2 x + 4}

sin^{2} (3 t)

What is the derivative of cos^3(4x) ?
The derivative of cos^3(4x) is -12cos^2(4x)sin(4x)
What is the first derivative of cos^3(4x) ?
The first derivative of cos^3(4x) is -12cos^2(4x)sin(4x)