What is the derivative of x^3(8-3x) ?

The derivative of x^3(8-3x) is 24x^2-12x^3

What is the first derivative of x^3(8-3x) ?

The first derivative of x^3(8-3x) is 24x^2-12x^3

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^{3} (8 - 3 x))

24 x^{2} - 12 x^{3}

Solution steps

\frac{d}{d x} (x^{3} (8 - 3 x))

Apply the Product Rule:

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

f = x^{3}, g = 8 - 3 x

= \frac{d}{d x} (x^{3}) (8 - 3 x) + \frac{d}{d x} (8 - 3 x) x^{3}

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

\frac{d}{d x} (8 - 3 x) = - 3

= 3 x^{2} (8 - 3 x) + (- 3) x^{3}

Simplify

3 x^{2} (8 - 3 x) + (- 3) x^{3} : 24 x^{2} - 12 x^{3}

= 24 x^{2} - 12 x^{3}

\frac{d}{d x} ((1 + 6 x^{2}) (x - x^{2}))

(s + 1) e^{- s π}

\frac{d y}{d x} = (x^{2})

\int (0) d x

3 y^{^{'}} + 7 y = 4 e^{- x}

What is the derivative of x^3(8-3x) ?
The derivative of x^3(8-3x) is 24x^2-12x^3
What is the first derivative of x^3(8-3x) ?
The first derivative of x^3(8-3x) is 24x^2-12x^3