- #1
crybllrd
- 120
- 0
Homework Statement
Find a > 0 such that the tangent line to the graph of
f(x) = [itex]x^{2}[/itex]e[itex]^{-x}[/itex] at x = a passes through the origin.
Homework Equations
The Attempt at a Solution
First I found the derivative to be:
[itex]-e^{-x}(x-2)x[/itex]
, which is the slope of the function.
I know the tangent line must pass through the origin (0,0), but I'm a bit stuck.
I took a year off from math and am trying to get back into math mode. Any help to lead me to the next step would be great.