Following (2.7.2), compute the condition number for each of the following functions f (x), and give the values of x for which the condition number is large: (a) f(x) = e x ; (b) f(x) = log(x); (c) f...

Following (2.7.2), compute the condition number for each of the following functions f (x), and give the values of x for which the condition number is large:

(a) f(x) = e x ;

(b) f(x) = log(x);

(c) f (x) = log(1 + x);

(d) f(x) = −1 (x);

(e) f(x) = x/√ 1 + x2.

 Are there any surprises?