Question

For what value of x is the line tangent to y=x^2 parallel to the line tangent to y=x^.5?

Answer 1

when f1'(x) = f2'(x)
or
2x = 1/(2x)
x=1/2

ALternatively, since f1 is the inverse of f2, so when f1'(x)=f2'(x)=1. Comes to the same answer.