How do you determine whether the function

Vanessa Mccarty

Vanessa Mccarty

Answered question

2022-04-15

How do you determine whether the function y=ex5x2+1 is concave up or concave down and its intervals?

Answer & Explanation

szkliwiakinrd

szkliwiakinrd

Beginner2022-04-16Added 10 answers

Step 1
For y=ex5x2+1, we get
y=ex(25x4100x3+160x220x9)(5x3+1)3
The denominator has no real zeros.
Find the real zeros of 25x4100x3+160x220x9
and investigate the sign of y on the resulting intervals.
The real zeros of 25x4100x3+160x220x9 are approximately 018 and 0.36 (The other two zeros are imaginary.)
IntervalSign of fConcavity(, 0.18)+Up(0.18, 0.36)Down(0.36, )+Up

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?