What is the derivative of f(x)=(-9x^2+4)^2 ?

The derivative of f(x)=(-9x^2+4)^2 is -36x(-9x^2+4)

What is the first derivative of f(x)=(-9x^2+4)^2 ?

The first derivative of f(x)=(-9x^2+4)^2 is -36x(-9x^2+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = (- 9 x^{2} + 4)^{2}

- 36 x (- 9 x^{2} + 4)

Solution steps

\frac{d}{d x} ((- 9 x^{2} + 4)^{2})

Apply the chain rule:

2 (- 9 x^{2} + 4) \frac{d}{d x} (- 9 x^{2} + 4)

= 2 (- 9 x^{2} + 4) \frac{d}{d x} (- 9 x^{2} + 4)

\frac{d}{d x} (- 9 x^{2} + 4) = - 18 x

= 2 (- 9 x^{2} + 4) (- 18 x)

Simplify

= - 36 x (- 9 x^{2} + 4)

\int x arctan (7 x) d x

\frac{d y}{d t} = 5 - 2 y

\int sin (w x) d x

f (x) = 9 x^{3}

z \to 0 lim (\frac{sin ( z )}{z})

What is the derivative of f(x)=(-9x^2+4)^2 ?
The derivative of f(x)=(-9x^2+4)^2 is -36x(-9x^2+4)
What is the first derivative of f(x)=(-9x^2+4)^2 ?
The first derivative of f(x)=(-9x^2+4)^2 is -36x(-9x^2+4)