What is the derivative of (8x^2-2x(5x+9)) ?

The derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18

What is the first derivative of (8x^2-2x(5x+9)) ?

The first derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} ((8 x^{2} - 2 x) (5 x + 9))

120 x^{2} + 124 x - 18

Solution steps

\frac{d}{d x} ((8 x^{2} - 2 x) (5 x + 9))

Apply the Product Rule:

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

f = 8 x^{2} - 2 x, g = 5 x + 9

= \frac{d}{d x} (8 x^{2} - 2 x) (5 x + 9) + \frac{d}{d x} (5 x + 9) (8 x^{2} - 2 x)

\frac{d}{d x} (8 x^{2} - 2 x) = 16 x - 2

\frac{d}{d x} (5 x + 9) = 5

= (16 x - 2) (5 x + 9) + 5 (8 x^{2} - 2 x)

Simplify

(16 x - 2) (5 x + 9) + 5 (8 x^{2} - 2 x) : 120 x^{2} + 124 x - 18

= 120 x^{2} + 124 x - 18

What is the derivative of (8x^2-2x(5x+9)) ?
The derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18
What is the first derivative of (8x^2-2x(5x+9)) ?
The first derivative of (8x^2-2x(5x+9)) is 120x^2+124x-18