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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

a^{3} + cos^{3} (x)

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (a^{3}) = 0

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

= 0 - 3 cos^{2} (x) sin (x)

Simplify

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

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