What is the derivative of (2x+5/(sqrt(x))) ?

The derivative of (2x+5/(sqrt(x))) is (2x-5)/(2xsqrt(x))

What is the first derivative of (2x+5/(sqrt(x))) ?

The first derivative of (2x+5/(sqrt(x))) is (2x-5)/(2xsqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{2 x + 5}{x})

\frac{2 x - 5}{2 x x}

Solution steps

\frac{d}{d x} (\frac{2 x + 5}{x})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( 2 x + 5 ) x - \frac{d}{d x} ( x ) ( 2 x + 5 )}{( x ) ^{2}}

\frac{d}{d x} (2 x + 5) = 2

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

= \frac{2 x - \frac{1}{2 x} ( 2 x + 5 )}{( x ) ^{2}}

Simplify

\frac{2 x - \frac{1}{2 x} ( 2 x + 5 )}{( x ) ^{2}} : \frac{2 x - 5}{2 x x}

= \frac{2 x - 5}{2 x x}

\int_{0}^{\frac{1}{5}} 5 arcsin (5 y) d y

f (x) = cos (5 x)

x \to - 1 lim (x + 2)

\frac{\partial}{\partial x} (18 x y)

What is the derivative of (2x+5/(sqrt(x))) ?
The derivative of (2x+5/(sqrt(x))) is (2x-5)/(2xsqrt(x))
What is the first derivative of (2x+5/(sqrt(x))) ?
The first derivative of (2x+5/(sqrt(x))) is (2x-5)/(2xsqrt(x))