What is the instantaneous rate of change of f(x)=(x2−3x)ex at x=2?

Aryanna Rowland

Aryanna Rowland

Answered

2022-03-16

What is the instantaneous rate of change of f(x)=(x23x)ex at x=2?

Answer & Explanation

orangepaperiz7

orangepaperiz7

Expert

2022-03-17Added 9 answers

The instantaneous rate of change when x=2 can be found through computing
f'(2).
To find f'(2), first find f'(x)
Use the product rule:
f(x)=exddx[x23x]+(x23x)ddx[ex]
f(x)=ex(2x3)+ex(x23x)
f(x)=ex(2x+3+x23x)
f(x)=ex(x2x+3)
f(2)=e2(222+3)
f(2)=5e2
f(2)=5e2
f(2)36.945

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

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

Didn't find what you were looking for?