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Home Q & A Board Science-Related Homework Help Mathematics
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tony2012 tony2012
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11 years ago
Find the equations of the tangent line to the given curve at the specified point  (using differentiation product or quotient rules)
Y=e^x/x
Point: (1,e)

My teacher always gives us homework before he actually goes over it in class, I normally stubble through it all by going to my schools math lab, but I did not have the time this week and I need some help.
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wrote...
#1
11 years ago
y = e^x / x
y' = D{e^x / x}
    = (xD{e^x} - e^xD{x}) / x² ? quotient rule
    = (x e^x - e^x) / x²
    = e^x(x - 1) / x²
so
at x = 1, m = 0
and tangent line is just:
y = e

??
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