# help with tangent line equation?

• Oct 3rd 2008, 04:47 PM
johnny4lsu
help with tangent line equation?
I can't seem to be able to figure this one out. Could someone walk me through it?

Find an equation for the line tangent to the graph of https://webwork.math.lsu.edu/webwork...20126da451.png
at the point https://webwork.math.lsu.edu/webwork...b83c87e881.pngfor https://webwork.math.lsu.edu/webwork...910c0a5021.png.

https://webwork.math.lsu.edu/webwork...22b824af51.png =
• Oct 3rd 2008, 04:53 PM
skeeter
show me the derivative ...
• Oct 3rd 2008, 04:56 PM
johnny4lsu
2x(e^x)+(e^x)(2)
• Oct 3rd 2008, 05:03 PM
skeeter
note that it can also be written as $f'(x) = 2e^x(x+1)$

for $f(x) = 2xe^x$ , $f(1) = 2e$

$f'(1) = 4e$

$y - 2e = 4e(x - 1)$

that's all folks.
• Oct 3rd 2008, 05:06 PM
johnny4lsu
thank u so very much skeeter. Ur a life saver!!!!!!!!