What is the derivative of cos^3(12x) ?

The derivative of cos^3(12x) is -36cos^2(12x)sin(12x)

What is the first derivative of cos^3(12x) ?

The first derivative of cos^3(12x) is -36cos^2(12x)sin(12x)

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derivative of

cos^{3} (12 x)

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

Solution steps

\frac{d}{d x} (cos^{3} (12 x))

Apply the chain rule:

3 (cos (12 x))^{2} \frac{d}{d x} (cos (12 x))

= 3 (cos (12 x))^{2} \frac{d}{d x} (cos (12 x))

\frac{d}{d x} (cos (12 x)) = - sin (12 x) \cdot 12

= 3 (cos (12 x))^{2} (- sin (12 x) \cdot 12)

Simplify

= - 36 cos^{2} (12 x) sin (12 x)

y = 3 x^{2} + 2 x, (2, 4)

\int sin^{2} (x co) s^{2} x d x

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 6, y^{^{'}} (0) = 0

f (x) = \frac{sin ( x )}{2 + cos ( x )}

x \to 0 lim (x^{2} + 1)

What is the derivative of cos^3(12x) ?
The derivative of cos^3(12x) is -36cos^2(12x)sin(12x)
What is the first derivative of cos^3(12x) ?
The first derivative of cos^3(12x) is -36cos^2(12x)sin(12x)