What is the derivative of f(x)=(-9x^2+16)^2 ?

The derivative of f(x)=(-9x^2+16)^2 is -36x(-9x^2+16)

What is the first derivative of f(x)=(-9x^2+16)^2 ?

The first derivative of f(x)=(-9x^2+16)^2 is -36x(-9x^2+16)

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} + 16)^{2}

- 36 x (- 9 x^{2} + 16)

Solution steps

\frac{d}{d x} ((- 9 x^{2} + 16)^{2})

Apply the chain rule:

2 (- 9 x^{2} + 16) \frac{d}{d x} (- 9 x^{2} + 16)

= 2 (- 9 x^{2} + 16) \frac{d}{d x} (- 9 x^{2} + 16)

\frac{d}{d x} (- 9 x^{2} + 16) = - 18 x

= 2 (- 9 x^{2} + 16) (- 18 x)

Simplify

= - 36 x (- 9 x^{2} + 16)

\int 6 x d x

\int \frac{x + 1}{x ^{2} - 4 x + 3} d x

y = x^{2} - 2, y = 7

f (x) = \frac{- 6 x}{x ^{2} + 1}, (0, 0)

x^{2} + 4

What is the derivative of f(x)=(-9x^2+16)^2 ?
The derivative of f(x)=(-9x^2+16)^2 is -36x(-9x^2+16)
What is the first derivative of f(x)=(-9x^2+16)^2 ?
The first derivative of f(x)=(-9x^2+16)^2 is -36x(-9x^2+16)