[" 95.(R.D.) Show that "f(x)=x^(2)" is differentiable at "],[qquad x=1" and find "f'(1)" ."]

Show that f(x)=x^(2) is differentiable at x=1 and find f'(1) .

Show that f(x)=x^2 is differentiable at x=1 and find f^(prime)(1) .

Show that f(x)=x^(2) is differentiable at x=1 and find f'(1)

Show that f(x)=x^(2) is differentiable at x=1 and find f(1)

Show that f (x) = 2x +3 is differentiable at x=1 and hence find f'(1).

Show that f (x) = [x] is not differentiable at x = 1 .

Show that the function f (x) = (x)/(1 + |x| ) , x in R, is differentiable at x =0. Hence find f '(0).

show that the function f : R to R : f (x) =2x +3 is invertible and find f^(-1)

f((x+y)/(2))=(f(x)+f(y))/(2)AA x,y in R and f(0)=1 and f'(0)=-1 and function is differentiable for all x, then find f(x) .

Show that f: R-{-1}->R-{1} given by f(x)=x/(x+1) is invertible. Also, find f^(-1) .