# Step-by-step Solution

## Find the derivative (d/dx)(x-1/x) using the sum rule

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asin
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asinh
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### Videos

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

## Step-by-step explanation

Problem to solve:

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

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

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

The derivative of the linear function is equal to $1$

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

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

### Main topic:

Differential calculus

~ 0.87 seconds

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