Find the tangent of a parabola

Question

Estimate the slope of the tangent line to the parabola y=x^2 at (1,1)

Answer 1

y = x²

 

y' = 2x

 

y'(1) = 2*1 = 2

Answer 2

y = x^2

y'=2x.   at the point (1,1)

y'=2

 

So, slope of the tangent line =2