Examples: f(x) = x for x > 0 and f(x) = x^2 for x < 0; find area with x axis from x = -2 and x = 3.

For a differntiable function , define D^(**)f(x) = L t_(h to 0) (f^2(x + h) - f^2(x))/(h) where f'(x) = (f(x))^2 for example, D^(**)f(x) = 2x if f(x) = x, D^(**)f(x) = 2 sin x cos x if f(x) = sin xD^(**)f(x) = 2e^(2x) if f(x) = e^(x) If f(x) = tan x and g(x) = log x the D^(**)(fg) (1) =

Let a function f be defined by f(x)=(x-|x|)/x for x ne 0 and f(0)=2. Then f is

Let a fiunction f defined by f(x)=(x-|x|)/(x) "for" x ne0 and f(0) =2 then f is

Let a function f be defined by f (x) =[x-|x|]/x for xne 0 and f(0)=2 .Then f is :

The function f(x)= xcos(1/x^2) for x != 0, f(0) =1 then at x = 0, f(x) is