Let f(:II) = V 1 + $2. a. (1 point) What is f(2. 0001)? b. (1 point) What is f (2)? c. (3 points) Use the previous two parts to estimate.f'(2) with an average rate of change (round your answer to four decimal places). Find the derivative of the following function and give your answer in an unsimplified form (note: further simplification beyond the initial calculation without work may result in no credit!) f (x = x2 log2 (x)Find the derivative of the following function and give your answer in an unsimplified form (note: further simplification beyond the initial calculation without work may result in no credit!) m = lw3 +4| Let 9(33) 2 2:3 2:1: -I 8. a) What is the derivative of 9(3))? b) What is g'(3)? c) Find the equation of the tangent line to y 2 9(33) at the point 33 = 3. (This can be in slope~intercept or point-slope form)