Question

What is the equation of the tangent line of `f(x) =(e^3x-3x)(e^x-x)` at `x=1`?

Answer 1

Did you really mean `e^3x` or should it have been `e^x`? If so, then the tangent line is `y=(e-3)/(e-1)` because `f(x)` has a local minimum at `(1,(e-3)/(e-1))`.