To approximate V/5, we choose the Taylor polynomial of degree 3 with base point 4. a) Find the first, second, and third derivative of f (ac) = /ac. f' (2) = 1/sqrtx f" (20 ) = fill ( 20 ) = b) Compute f ( 4) , f' (4), f" (4) and fill ( 4 ) . f (4) = 4 f' ( 4 ) = f " ( 4 ) = fill ( 4 ) = c) Find the Taylor polynomial of order three T3 of f at the base point a = 4. T3 (20) = d) Evaluate T? (5) and compare with the exact value given by f (5); namely, compute |f(5) - T3 (5) |. Give your answer with an accuracy of five decimal places. Answer: T3 (5) = Number If(5) -I3 (5)| ~ Number