What is the derivative of cos^3(2+x) ?

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

What is the first derivative of cos^3(2+x) ?

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

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} (2 + x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{d}{d x} ((4 - x)^{\frac{1}{x - 3}})

y = ln (x + 3)

y^{^{''}} + 9 y = - sin (3 t)

y = 2 x^{3} + 3 x^{2} - 4 x, y = x^{2}

y^{^{''}} + 4 y^{^{'}} + 34 y = 0

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