en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (8-9x)(8+9x)

Solution

derivative of

(8 - 9 x) (8 + 9 x)

Solution

- 162 x

Solution steps

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

Apply the Product Rule:

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

f = 8 - 9 x, g = 8 + 9 x

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

\frac{d}{d x} (8 - 9 x) = - 9

\frac{d}{d x} (8 + 9 x) = 9

= (- 9) (8 + 9 x) + 9 (8 - 9 x)

Simplify

(- 9) (8 + 9 x) + 9 (8 - 9 x) : - 162 x

= - 162 x

Graph

Popular Examples

derivative of (1-x/2)^{e^{x^2}}derivative of

(1 - \frac{x}{2})^{e^{x^{2}}}

sum from n=1 to infinity of 4/(n^3)

n = 1 \sum \infty \frac{4}{n ^{3}}

y^{''}+36y=-2tan(6x)

y^{^{''}} + 36 y = - 2 tan (6 x)

derivative of ((sin(x)/(cos(2x)))^3)

\frac{d}{d x} ((\frac{sin ( x )}{cos ( 2 x )})^{3})

f^'(x)=3cos(x)+4(-sin(x))

f^{^{'}} (x) = 3 cos (x) + 4 (- sin (x))

Frequently Asked Questions (FAQ)

What is the derivative of (8-9x)(8+9x) ?
The derivative of (8-9x)(8+9x) is -162x
What is the first derivative of (8-9x)(8+9x) ?
The first derivative of (8-9x)(8+9x) is -162x