If f(x) = k, a constant, find the value of `Deltaf(x)`.

If f(x) = 2^x then find the value of Delta2^x , for x= 2 and h= 1.

If f(x)=logx,find the value of Delta logx.

If U_x = k_v a constant,evalute Delta U_x

If F(x) = k where 'k' is constant then Delta^2f(x)=?

If f(x)=C, wherr 'C' is constant then Delta f(x) = ?

If f(x)=x|x| , then find f'(0).

If the function f(x)={{:((sin x)/(x) + cos x", if " x ne 0 ), (k", if " x =0 ):} is continuous at x=0, then find the value of k.

If f(x)=x^(x) , then find f'(x) .

Show that f(x) = x-[x] is discontinuous for integral values of x