What is the derivative of x^3(x-1^4) ?

The derivative of x^3(x-1^4) is 3x^2(x-1)^4+4(x-1)^3x^3

What is the first derivative of x^3(x-1^4) ?

The first derivative of x^3(x-1^4) is 3x^2(x-1)^4+4(x-1)^3x^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} (x - 1)^{4})

3 x^{2} (x - 1)^{4} + 4 (x - 1)^{3} x^{3}

Solution steps

\frac{d}{d x} (x^{3} (x - 1)^{4})

Apply the Product Rule:

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

f = x^{3}, g = (x - 1)^{4}

= \frac{d}{d x} (x^{3}) (x - 1)^{4} + \frac{d}{d x} ((x - 1)^{4}) x^{3}

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

\frac{d}{d x} ((x - 1)^{4}) = 4 (x - 1)^{3}

= 3 x^{2} (x - 1)^{4} + 4 (x - 1)^{3} x^{3}

\frac{\partial}{\partial x} (e^{x} \cdot y \cdot d y)

\frac{d}{d x} (e^{- b x})

\int 64 e^{4 x} sin (4 x) d x

\int (e^{y})^{2} d y

x \to 0 + lim (\frac{1}{x ln ( x )})

What is the derivative of x^3(x-1^4) ?
The derivative of x^3(x-1^4) is 3x^2(x-1)^4+4(x-1)^3x^3
What is the first derivative of x^3(x-1^4) ?
The first derivative of x^3(x-1^4) is 3x^2(x-1)^4+4(x-1)^3x^3