What is the derivative of 2/(5x+3) ?

The derivative of 2/(5x+3) is -(10)/((5x+3)^2)

What is the first derivative of 2/(5x+3) ?

The first derivative of 2/(5x+3) is -(10)/((5x+3)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

\frac{2}{5 x + 3}

- \frac{10}{( 5 x + 3 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{2}{5 x + 3})

Take the constant out:

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

= 2 \frac{d}{d x} (\frac{1}{5 x + 3})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 2 \frac{d}{d x} ((5 x + 3)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 x + 3 ) ^{2}} \frac{d}{d x} (5 x + 3)

= - \frac{1}{( 5 x + 3 ) ^{2}} \frac{d}{d x} (5 x + 3)

\frac{d}{d x} (5 x + 3) = 5

= 2 (- \frac{1}{( 5 x + 3 ) ^{2}} \cdot 5)

Simplify

2 (- \frac{1}{( 5 x + 3 ) ^{2}} \cdot 5) : - \frac{10}{( 5 x + 3 ) ^{2}}

= - \frac{10}{( 5 x + 3 ) ^{2}}

\int \frac{csc ^{2} ( x )}{cot ^{3} ( x )} d x

ln (4 x^{5} + 1)

\int cos^{7} (x t a) n^{3} x d x

\int - \frac{1}{5 - x} d x

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

What is the derivative of 2/(5x+3) ?
The derivative of 2/(5x+3) is -(10)/((5x+3)^2)
What is the first derivative of 2/(5x+3) ?
The first derivative of 2/(5x+3) is -(10)/((5x+3)^2)