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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

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

Simplify

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

f (x) = 3 x + 7

y = 3^{x - 1}

f (x) = \frac{x}{x ^{2} + 9}

y^{^{''}} - 2 y^{^{'}} + 2 y = x + e^{x}

x \to 0 lim (- 5^{2})

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