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

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

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

Prove that the constant function f (x)= k, where k is a constant, is continuous

If U_x = k_v a constant,evalute Delta U_x

if f(x+y)=f(x)+ f(y) for all x and y and if f(x) is continuous at x=0, show that f(x) is continuous everywhere.

If f(x)=[x], where [x] is the greatest integer function then find f(√2) ,f(3),f(-1.3),f(0),f(-1).

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

if f(xy) = f(x) f(y) for all x and y and if f(x) is continuous at x = 1, then show that it is continuous for all x except 0

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

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