What is the derivative of 9cos^3(x) ?

The derivative of 9cos^3(x) is -27cos^2(x)sin(x)

What is the first derivative of 9cos^3(x) ?

The first derivative of 9cos^3(x) is -27cos^2(x)sin(x)

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\frac{d}{d x} (9 cos^{3} (x))

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

Solution steps

\frac{d}{d x} (9 cos^{3} (x))

Take the constant out:

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

= 9 \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)

= 9 \cdot 3 (cos (x))^{2} (- sin (x))

Simplify

= - 27 cos^{2} (x) sin (x)

\int_{0}^{\frac{1}{6}} x ln (6 x) d x

y = x + 1, (- 1, 4)

x \to \infty lim (i^{x})

f (x) = (x^{3} + 5) (x^{3} + x + 1)

\int \frac{3}{x ln ( 2 x )} d x

What is the derivative of 9cos^3(x) ?
The derivative of 9cos^3(x) is -27cos^2(x)sin(x)
What is the first derivative of 9cos^3(x) ?
The first derivative of 9cos^3(x) is -27cos^2(x)sin(x)