1. The problem statement, all variables and given/known data Does the curve y=x^2 have two different tangents which are perpendicular? Does the curve y=x^3? 3. The attempt at a solution I have no idea how to prove that for x^2 or x^3. (x^2)' =2x that is tangent at a point x then m = -1/2 x for another point.... How do i prove that there is sucha point? then how about x^3?