en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=5-|x-5|

Solution

derivative of

f (x) = 5 - ∣ x - 5 ∣

Solution

- \frac{x - 5}{∣ x - 5 ∣}

Solution steps

\frac{d}{d x} (5 - ∣ x - 5 ∣)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5) - \frac{d}{d x} (∣ x - 5 ∣)

\frac{d}{d x} (5) = 0

\frac{d}{d x} (∣ x - 5 ∣) = \frac{x - 5}{∣ x - 5 ∣}

= 0 - \frac{x - 5}{∣ x - 5 ∣}

Simplify

= - \frac{x - 5}{∣ x - 5 ∣}

Popular Examples

integral of (x^2+x+1)/(x^2-x)

\int \frac{x ^{2} + x + 1}{x ^{2} - x} d x

y^{''}-10y^'+25y=t^{-7}e^{5t}

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 7} e^{5 t}

integral of (6x^4+23x^2+4x+15)/(x^2+3)

\int \frac{6 x ^{4} + 23 x ^{2} + 4 x + 15}{x ^{2} + 3} d x

derivative of x^2sin^7(x+xcos^{-2}(x))

\frac{d}{d x} (x^{2} sin^{7} (x) + x cos^{- 2} (x))

4y^{''}+2y^'+2y=0

4 y^{^{''}} + 2 y^{^{'}} + 2 y = 0

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=5-|x-5| ?
The derivative of f(x)=5-|x-5| is -(x-5)/(|x-5|)
What is the first derivative of f(x)=5-|x-5| ?
The first derivative of f(x)=5-|x-5| is -(x-5)/(|x-5|)