# How do you find the instantaneous rate of change for #f(x)=(x^2-2)/(x-1)# for x=2?

##### 2 Answers

Feb 2, 2018

Please refer to the explanation below.

#### Explanation:

We have to take the derivative of the function

So, we have to use the quotient rule, which states that,

Here,

Plugging in

So, the instantaneous rate of change will be

Feb 2, 2018

#### Explanation:

By finding the derivativ of

Now we determinate the value of the divertive at the point x=2