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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = (3 - 2 x^{3})^{2}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= - 12 x^{2} (3 - 2 x^{3})

f (x) = x^{2} + 1

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

y = x - x^{3} (1)

\frac{d y}{d x} + y^{9} x + 8 y = 0

\int \frac{18}{1 + 9 x ^{2}} d x

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