What is the derivative of (3x-9)/(sqrt(x)) ?

The derivative of (3x-9)/(sqrt(x)) is (3x+9)/(2xsqrt(x))

What is the first derivative of (3x-9)/(sqrt(x)) ?

The first derivative of (3x-9)/(sqrt(x)) is (3x+9)/(2xsqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{3 x - 9}{x}

\frac{3 x + 9}{2 x x}

Solution steps

\frac{d}{d x} (\frac{3 x - 9}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 3 x - 9 ) x - \frac{d}{d x} ( x ) ( 3 x - 9 )}{( x ) ^{2}}

\frac{d}{d x} (3 x - 9) = 3

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

= \frac{3 x - \frac{1}{2 x} ( 3 x - 9 )}{( x ) ^{2}}

Simplify

\frac{3 x - \frac{1}{2 x} ( 3 x - 9 )}{( x ) ^{2}} : \frac{3 x + 9}{2 x x}

= \frac{3 x + 9}{2 x x}

\frac{d y}{d x} = 7 x

f (x) = ln ∣ x ∣

\frac{d}{d t} (3 t^{2} - 30 t + 72)

\frac{d}{d x} (4 x e^{5 x})

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

What is the derivative of (3x-9)/(sqrt(x)) ?
The derivative of (3x-9)/(sqrt(x)) is (3x+9)/(2xsqrt(x))
What is the first derivative of (3x-9)/(sqrt(x)) ?
The first derivative of (3x-9)/(sqrt(x)) is (3x+9)/(2xsqrt(x))