What is the derivative of f(x)=(24x)/(2x+3) ?

The derivative of f(x)=(24x)/(2x+3) is (72)/((2x+3)^2)

What is the first derivative of f(x)=(24x)/(2x+3) ?

The first derivative of f(x)=(24x)/(2x+3) is (72)/((2x+3)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = \frac{24 x}{2 x + 3}

\frac{72}{( 2 x + 3 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{24 x}{2 x + 3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 24 \frac{d}{d x} (\frac{x}{2 x + 3})

Apply the Quotient Rule:

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

= 24 \cdot \frac{\frac{d x}{d x} ( 2 x + 3 ) - \frac{d}{d x} ( 2 x + 3 ) x}{( 2 x + 3 ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (2 x + 3) = 2

= 24 \cdot \frac{1 \cdot ( 2 x + 3 ) - 2 x}{( 2 x + 3 ) ^{2}}

Simplify

24 \cdot \frac{1 \cdot ( 2 x + 3 ) - 2 x}{( 2 x + 3 ) ^{2}} : \frac{72}{( 2 x + 3 ) ^{2}}

= \frac{72}{( 2 x + 3 ) ^{2}}

\int \frac{x}{5} 25 + x^{2} d x

\int 3 t d t

3 x - 1

\frac{d}{d x} (x^{\frac{1}{3}} + 3)

\int 6 e^{3} d x

What is the derivative of f(x)=(24x)/(2x+3) ?
The derivative of f(x)=(24x)/(2x+3) is (72)/((2x+3)^2)
What is the first derivative of f(x)=(24x)/(2x+3) ?
The first derivative of f(x)=(24x)/(2x+3) is (72)/((2x+3)^2)