What is the derivative of x(x^2-4) ?

The derivative of x(x^2-4) is 3x^2-4

What is the first derivative of x(x^2-4) ?

The first derivative of x(x^2-4) is 3x^2-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

3 x^{2} - 4

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = x^{2} - 4

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

\frac{d x}{d x} = 1

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

= 1 \cdot (x^{2} - 4) + 2 xx

Simplify

1 \cdot (x^{2} - 4) + 2 xx : 3 x^{2} - 4

= 3 x^{2} - 4

f (x) = x^{3} + 2 x, at x = 0

\frac{\partial}{\partial x} (8 x y + 2 x^{4} + 2 y^{4})

\frac{d}{d x} (sin^{n - 2} (x))

\frac{\partial}{\partial x} (\frac{- cos ( x )}{x})

\frac{0.6 e ^{x}}{cos ( x )}

What is the derivative of x(x^2-4) ?
The derivative of x(x^2-4) is 3x^2-4
What is the first derivative of x(x^2-4) ?
The first derivative of x(x^2-4) is 3x^2-4