# How do you find the instantaneous rate of change of the function #y= 5x - x^2# when x=-2?

##### 1 Answer

Feb 15, 2016

#### Explanation:

The instantaneous rate of change is math for how fast something is going at a specific time. The shortened version of it is the *derivative* of a function - how fast the function is changing.

To find instantaneous rate of change, we simply take the derivative of our function, evaluate it at the point in question, and boom, we're done.

Let's begin. We have

Next step is to find what this is when

Therefore, our derivative (instantaneous rate of change) at