What is the derivative of (x-1)(x^2-8x+7) ?

The derivative of (x-1)(x^2-8x+7) is 3x^2-18x+15

What is the first derivative of (x-1)(x^2-8x+7) ?

The first derivative of (x-1)(x^2-8x+7) is 3x^2-18x+15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(x - 1) (x^{2} - 8 x + 7)

3 x^{2} - 18 x + 15

Solution steps

\frac{d}{d x} ((x - 1) (x^{2} - 8 x + 7))

Apply the Product Rule:

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

f = x - 1, g = x^{2} - 8 x + 7

= \frac{d}{d x} (x - 1) (x^{2} - 8 x + 7) + \frac{d}{d x} (x^{2} - 8 x + 7) (x - 1)

\frac{d}{d x} (x - 1) = 1

\frac{d}{d x} (x^{2} - 8 x + 7) = 2 x - 8

= 1 \cdot (x^{2} - 8 x + 7) + (2 x - 8) (x - 1)

Simplify

1 \cdot (x^{2} - 8 x + 7) + (2 x - 8) (x - 1) : 3 x^{2} - 18 x + 15

= 3 x^{2} - 18 x + 15

\frac{d}{d x} (sin^{2} (x) + x)

\frac{d}{d x} (5 x^{3} cos (x))

\frac{\partial}{\partial x} (y x)

\frac{\partial}{\partial x} (3 y)

\int \frac{9}{x} d x

What is the derivative of (x-1)(x^2-8x+7) ?
The derivative of (x-1)(x^2-8x+7) is 3x^2-18x+15
What is the first derivative of (x-1)(x^2-8x+7) ?
The first derivative of (x-1)(x^2-8x+7) is 3x^2-18x+15