en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)= 1/(2-3x)

Solution

derivative of

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

Solution

\frac{3}{( 2 - 3 x ) ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

derivative of ln((1+sqrt(x)/(x^4)))

\frac{d}{d x} (ln (\frac{1 + x}{x ^{4}}))

sum from n=6 to infinity of (3^n)/(12^n)

n = 6 \sum \infty \frac{3 ^{n}}{1 2 ^{n}}

integral from 0 to 15 of sqrt(t+1)

\int_{0}^{15} t + 1 d t

derivative of (1+x^3Y^2Z^2)

\frac{d}{d x} ((1 + x^{3} Y^{2} Z)^{2})

derivative of 4^xln(4)

\frac{d}{d x} (4^{x} ln (4))

Frequently Asked Questions (FAQ)

What is the derivative of f(x)= 1/(2-3x) ?
The derivative of f(x)= 1/(2-3x) is 3/((2-3x)^2)
What is the first derivative of f(x)= 1/(2-3x) ?
The first derivative of f(x)= 1/(2-3x) is 3/((2-3x)^2)