Question

Find
f(x) if f(2) = 2
and the tangent line at x has slope
(x − 1)e^(x^2 − 2x)

Answer 1

calculus 1 or 2?

Answer 2

f'(x) = (x-1)e^(x^2-2x)
Integrate f'(x) to get g(x)= f(x) + k.
Evaluate g(2) to obtain the value of k.
f(x) = g(x) - k.

Answer 3

yep, lol just like that.