Question

The curvature at a point P of a curve y = f(x) is given by the...

The curvature at a point P of a curve y = f(x) is given by the formula below.

k =

|d2y/dx2|
1 + (dy/dx)2
3/2

(a) Use the formula to find the curvature of the parabola

y = x2

at the point

(−2, 4).



(b) At what point does this parabola have maximum curvature?

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