en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3/(2x^2)

Solution

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

Solution

- \frac{3}{x ^{3}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

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

= - \frac{3}{x ^{3}}

Popular Examples

ln(x)(dy)/(dx)+y/x =xln(x)

ln (x) \frac{d y}{d x} + \frac{y}{x} = x ln (x)

derivative of (3-5x^5)

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

derivative of (x^4/(x-1))

\frac{d}{d x} (\frac{x ^{4}}{x - 1})

area x=(12-y^2)/4 ,x=y area

x = \frac{12 - y ^{2}}{4}, x = y

y^'x+4yx=8,y(0)=1

y^{^{'}} x + 4 y x = 8, y (0) = 1

Frequently Asked Questions (FAQ)

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