en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^8(x-1)^7

Solution

derivative of

x^{8} (x - 1)^{7}

Solution

8 x^{7} (x - 1)^{7} + 7 (x - 1)^{6} x^{8}

Solution steps

\frac{d}{d x} (x^{8} (x - 1)^{7})

Apply the Product Rule:

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

f = x^{8}, g = (x - 1)^{7}

= \frac{d}{d x} (x^{8}) (x - 1)^{7} + \frac{d}{d x} ((x - 1)^{7}) x^{8}

\frac{d}{d x} (x^{8}) = 8 x^{7}

\frac{d}{d x} ((x - 1)^{7}) = 7 (x - 1)^{6}

= 8 x^{7} (x - 1)^{7} + 7 (x - 1)^{6} x^{8}

Graph

Popular Examples

integral of tcsc(t)cot(t)

\int t csc (t) cot (t) d t

derivative of 5/(cos^2(x))

\frac{d}{d x} (\frac{5}{cos ^{2} ( x )})

limit as x approaches 2-of 7/(x-2)

x \to 2 - lim (\frac{7}{x - 2})

derivative of f(x)=sqrt(3x^2+3x+3)derivative of

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

integral of e^x(1+e^{1-x})

\int e^{x} (1 + e^{1 - x}) d x

Frequently Asked Questions (FAQ)

What is the derivative of x^8(x-1)^7 ?
The derivative of x^8(x-1)^7 is 8x^7(x-1)^7+7(x-1)^6x^8
What is the first derivative of x^8(x-1)^7 ?
The first derivative of x^8(x-1)^7 is 8x^7(x-1)^7+7(x-1)^6x^8