Question
Asked Nov 3, 2019
119 views

For what values of x is the graph of y=xe^(−2x) concave down?

check_circle

Expert Answer

Step 1

Find first derivative using product rule and chain rule. 

help_outline

Image Transcriptionclose

у-хе y' (x)'e2+x(e2y y'1(e 2)+x(e 2)-2) y' e2-2xe2x ye2(1-2x)

fullscreen
Step 2

Find secomd derivative using produc...

help_outline

Image Transcriptionclose

у-е 2(1-2х) У"-le 2У(1-2х)+е 2"(1-2х) У"-е (-2)(1-2х)+e-2(-2) у"%3- 2e 2(1-2х-+1) у"%3-2е (2-2х) у"%3-4e 2(1-х)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other