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!