Question

Find an equation of the tangent line to the curve at the given point. (Assume the tangent line form to be f(x) = mx + b.)

y= e^x/x (1,e)

I got m= 0
nd b=e
could anyone tell if its right?

Answer 1

y'=d/dx (1/x * e^x)= e^x(-1/x^2+1/x)
at 1,e
y'=slope=e(-1+1)=0 correct for m
y= mx+b=b
so b=e correct.