What is the derivative of y= 1/x ?

The derivative of y= 1/x is -1/(x^2)

What is the first derivative of y= 1/x ?

The first derivative of y= 1/x is -1/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = \frac{1}{x}

- \frac{1}{x ^{2}}

Solution steps

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 1 \cdot x^{- 1 - 1}

Simplify

- 1 \cdot x^{- 1 - 1} : - \frac{1}{x ^{2}}

= - \frac{1}{x ^{2}}

x^{2} + y^{2} = 16

5 x

3 x + 4 y = 12

y = - 2 x + 3

8 x + 2 y = 6

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