Given the function f(x)= sqrtx
a) Let M= f´´(50) and N=f''(49). Argue on that f´´(x) lies between M og N if x =]49,50[
(Tip: show that f´´(x) is increasing function, that is look at f´´´(x)).
b) Use the numbers from parta a) and define K as the average of sM and N, that is K = M+N/2 and build the parabola p(x)=L(x)+K/2(x-a)^2.