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Homework Statement
Does the curve y=x^2 have two different tangents which are perpendicular? Does the curve y=x^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?