What is the d/(dv)((v^3-2vsqrt(v))/v) ?

The d/(dv)((v^3-2vsqrt(v))/v) is 2v-1/(sqrt(v))

What is the first d/(dv)((v^3-2vsqrt(v))/v) ?

The first d/(dv)((v^3-2vsqrt(v))/v) is 2v-1/(sqrt(v))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d v} (\frac{v ^{3} - 2 v v}{v})

2 v - \frac{1}{v}

Solution steps

\frac{d}{d v} (\frac{v ^{3} - 2 v v}{v})

Simplify

\frac{v ^{3} - 2 v v}{v} : v^{2} - 2 v

= \frac{d}{d v} (v^{2} - 2 v)

Apply the Sum/Difference Rule:

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

= \frac{d}{d v} (v^{2}) - \frac{d}{d v} (2 v)

\frac{d}{d v} (v^{2}) = 2 v

\frac{d}{d v} (2 v) = \frac{1}{v}

= 2 v - \frac{1}{v}

d er i v a t i v e 7 e^{y}

\int \frac{( x ^{2} )}{6 x ^{2} - 49} d x

d er i v a t i v e (1 - x) cos (2 x)

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

\frac{d}{d x} (\frac{x + y}{x ^{2} + y ^{2}})

What is the d/(dv)((v^3-2vsqrt(v))/v) ?
The d/(dv)((v^3-2vsqrt(v))/v) is 2v-1/(sqrt(v))
What is the first d/(dv)((v^3-2vsqrt(v))/v) ?
The first d/(dv)((v^3-2vsqrt(v))/v) is 2v-1/(sqrt(v))