# How do you estimate the instantaneous rate of change for #f(x) = 3/x# at #x=2#?

##### 1 Answer

Oct 8, 2015

-3/4 is the instantaneous rate of change at x=2.

#### Explanation:

Instantaneous rate of change can be found by finding the derivative of the equation. The equation in this particular problem can be rewritten as follows:

#f(x) = 3(x^-1)#

From here we can follow the power rule of derivatives and get the derivative function.

#f'(x) = -3(x^-2)#

or

#f'(x) = -3/x^2#

From here we can plug in our given, x=2, and get the answer.

#f'(2) = -3/4#