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)=(-1)/(sqrt(2x))+2x

Solution

derivative of

f (x) = \frac{- 1}{2 x} + 2 x

Solution

\frac{1}{2 2 x ^{\frac{3}{2}}} + 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2 x) = 2

= \frac{1}{2 2 x ^{\frac{3}{2}}} + 2

Graph

Popular Examples

derivative of cos(x^{-4})

\frac{d}{d x} (cos (x^{- 4}))

limit as x approaches 2 of 5/(x-2)

x \to 2 lim (\frac{5}{x - 2})

slope of (3,-3),(5,-6)slope

(3, - 3), (5, - 6)

y^{''}-2y^'+y=xe^xln(x)

y^{^{''}} - 2 y^{^{'}} + y = x e^{x} ln (x)

limit as x approaches 3 of 3x^3-5x^2+x-8

x \to 3 lim (3 x^{3} - 5 x^{2} + x - 8)

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(-1)/(sqrt(2x))+2x ?
The derivative of f(x)=(-1)/(sqrt(2x))+2x is 1/(2sqrt(2)x^{3/2)}+2
What is the first derivative of f(x)=(-1)/(sqrt(2x))+2x ?
The first derivative of f(x)=(-1)/(sqrt(2x))+2x is 1/(2sqrt(2)x^{3/2)}+2