SOLUTION: Find equations of the tangent line and normal line at the curve at the given point. a). Y=(2+x)e^-x, (0, 2)

Algebra ->  Trigonometry-basics -> SOLUTION: Find equations of the tangent line and normal line at the curve at the given point. a). Y=(2+x)e^-x, (0, 2)       Log On


   



Question 862194: Find equations of the tangent line and normal line at the curve at the given point.
a). Y=(2+x)e^-x, (0, 2)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
To find the tangent, find the value of the derivative at that point.
y=%282%2Bx%29e%5E%28-x%29

So when x=0
dy%2Fdx=-e%5E%28-0%29%280%2B1%29=-1
y=-x%2Bb
Use the point to solve for b.
2=-0%2Bb
b=2
highlight%28y=-x%2B2%29
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