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

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

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

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

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

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

Solution steps

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

Take the constant out:

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

= 4 \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)

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

Simplify

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

y = (9 x^{2} - 6 x + 2) (1 + 2 x), at x = 1

\frac{d}{d x} (a 1 + x)

x + 9, 0.25 x + 9

\frac{d}{d x} (∣ 3 x - 4 ∣)

\int \frac{x ^{2}}{10 - 3 x ^{3}} d x

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