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\frac{d}{dx}\left(x-\frac{1}{x}\right)

Find the derivative of x-11/x

Answer

$\frac{1}{x^2}+1$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(x-\frac{1}{x}\right)$
1

The derivative of a sum of two functions is the sum of the derivatives of each function

$\frac{d}{dx}\left(-\frac{1}{x}\right)+\frac{d}{dx}\left(x\right)$

Unlock this step-by-step solution!

Answer

$\frac{1}{x^2}+1$
$\frac{d}{dx}\left(x-\frac{1}{x}\right)$

Main topic:

Differential calculus

Used formulas:

5. See formulas

Time to solve it:

~ 0.22 seconds