Question

???Suppose that f: R arrow R is a C^2 function,meaning that f,f',anf f" are continuous on all of R. The graph of f has an obviousinterpretation as the image a path in R^2, namely the path x: Rarrow R^2,where x(t)=(t,f(t)). ( You should mentally compare thisto your answer to problem 3.1.19). Show that the curvature of f atthe point (x,f(x)) is given by

curvature= l f"(x) l / ( 1+ f'(x)^2)^(3/2). ?( This problem appearsas exercise 17 in section 3.2 of the textbook, where you are toldto use formula (17). Don't use formula (17) in your solution.