Show that the formula for the curvature of a polar curve r = () given in Exercise

Show that the formula for the curvature of a polar curve r = ƒ(θ) given in Exercise 71
reduces to K = 2/|r'| for the curvature at the pole.

Data from in Exercise 71

A curve C is given by the polar equation r = ƒ(θ). Show that the curvature K at the point (r, θ) is 

Transcribed Image Text:

K = 12(r)² rr" + r²| [(r')² + r²]3/2 -