Algebraically, using the limit definition, find the derivative function f(x), being sureto show all your work. (Hint: To evaluate the limit of the difference quotient, you mayfind it helpful to multiply both the numerator and the denominator by the conjugate ofthe numerator. The conjugate of AB is A + B: note (AB)(A + B)= A2B2.Since you are multiplying both the numerator and denominator by the same thing, thisis equivalent to multiplying by 1, which doesnt change the value of the limit, it justallows us to rewrite it in a way we can algebraically simplify.)