# How to find instantaneous rate of change for #y=4x^3+2x-3# at x=2?

##### 2 Answers

#### Explanation:

We need to differentiate the expression,

and so when

This is the rate of change of

#### Explanation:

"Instantaneous rate of change" is just a fancy way of saying "derivative". We need to differentiate this business and plug in

We can find the derivative using the **power rule**. Here, we multiply the constant times the exponent, and the power gets decremented. Doing this, we get

**NOTE:** Recall that the derivative of an

Now, we can plug

The instantaneous rate of change at

Hope this helps!