# How do you find instantaneous rate of change for the equation # y=4x^3+2x-3#?

##### 1 Answer

Take the derivative:

#### Explanation:

The rate of change for an equation may simply be defined mathematically as the slope at any point.

if

For each polynomial term, multiply the exponent times the coefficient and decrease the exponent by one.

Thus for

Combine the terms (sum rule):