What is the derivative of (6-2x^2)^3 ?

The derivative of (6-2x^2)^3 is -12x(6-2x^2)^2

What is the first derivative of (6-2x^2)^3 ?

The first derivative of (6-2x^2)^3 is -12x(6-2x^2)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(6 - 2 x^{2})^{3}

- 12 x (6 - 2 x^{2})^{2}

Solution steps

\frac{d}{d x} ((6 - 2 x^{2})^{3})

Apply the chain rule:

3 (6 - 2 x^{2})^{2} \frac{d}{d x} (6 - 2 x^{2})

= 3 (6 - 2 x^{2})^{2} \frac{d}{d x} (6 - 2 x^{2})

\frac{d}{d x} (6 - 2 x^{2}) = - 4 x

= 3 (6 - 2 x^{2})^{2} (- 4 x)

Simplify

= - 12 x (6 - 2 x^{2})^{2}

n = 0 \sum \infty n (\frac{3}{5})^{n}

25 x^{2} y^{^{''}} + 25 x y^{^{'}} + y = 0

x \to \infty lim (x^{x})

\int_{7}^{12} ln (x^{3}) d x

\frac{- 8 x - 2}{9 x - 4}

What is the derivative of (6-2x^2)^3 ?
The derivative of (6-2x^2)^3 is -12x(6-2x^2)^2
What is the first derivative of (6-2x^2)^3 ?
The first derivative of (6-2x^2)^3 is -12x(6-2x^2)^2