en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of |4x-20|

Solution

\frac{d}{d x} (∣ 4 x - 20 ∣)

Solution

\frac{4 ( 4 x - 20 )}{∣ 4 x - 20 ∣}

Solution steps

\frac{d}{d x} (∣ 4 x - 20 ∣)

Apply the chain rule:

\frac{4 x - 20}{∣ ( 4 x - 20 ) ∣} \frac{d}{d x} (4 x - 20)

= \frac{4 x - 20}{∣ ( 4 x - 20 ) ∣} \frac{d}{d x} (4 x - 20)

\frac{d}{d x} (4 x - 20) = 4

= \frac{4 x - 20}{∣ ( 4 x - 20 ) ∣} \cdot 4

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{4 ( 4 x - 20 )}{∣ 4 x - 20 ∣}

Graph

Popular Examples

integral from 6 to 12 of 2x-18

\int_{6}^{12} 2 x - 18 d x

integral of (5x+2)^3

\int (5 x + 2)^{3} d x

y^{^{''}} + y = e^{x}

(dy)/(dx)=((x^2-1))/(2y),y(3)=1

\frac{d y}{d x} = \frac{( x ^{2} - 1 )}{2 y}, y (3) = 1

(\partial)/(\partial y)(y^2e^{xyz})

\frac{\partial}{\partial y} (y^{2} e^{x yz})

Frequently Asked Questions (FAQ)

What is the derivative of |4x-20| ?
The derivative of |4x-20| is (4(4x-20))/(|4x-20|)
What is the first derivative of |4x-20| ?
The first derivative of |4x-20| is (4(4x-20))/(|4x-20|)