What is the instantaneous rate of change of

Nikhil Holt

Nikhil Holt

Answered question

2022-03-17

What is the instantaneous rate of change of f(x)=2x3+5x2+3x at x=-2?

Answer & Explanation

Kyson Sloan

Kyson Sloan

Beginner2022-03-18Added 5 answers

The derivative should be discovered first using the power rule.
The instantaneous rate of change is the derivative.
Which states:
d dx xn=nxn1
d dx =(3)2x31+(2)5x21+(1)3x11
Please keep in mind that x11=x0=1
d dx =6x2+10x+3
Now you plug in x=-2
6(2)2+10(2)+3=41

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?