Derivative of function as limits:If any function f(x) goes under an infinitesimal change h, then the derivative of function f(x) is given by:f’(x) = limh→0= [f(x+h)-f(x)]/hThis is also known as the derivative limit formula, where the limit of the derivative is given by,limh→0.Solved Example:- Find the derivative of the function f=3x at x=2.f(x)= 3xf’(x)=limh→0[f(x+h)-f(x)]/hf’(2)=limh→0[f(2+h)-f(2)]/hf’(2)=limh→0[3(2+h)-3(2)]/hf’(2)=limh→0[6+3h-6]/hf’(2)=limh→03h/hf’(2)=limh→03=3