Date: Score: Rules in Action Derivatives of Algebraic Functions Directions: Prove the following statements. (4 items x 5 points) 1. If f(x) = (x2 -1)3 then f'(x) = 6x5 - 12x3 + 6x. 13x7+ 20x 2. If f(x) = x x3 + 2 then 2vx + 2 1-x2 3. If f (x) = then f'(x) =- vx3 +1 2,/x(x2 + 1)3 4. If f(x) = (V4x3 +8-x3 ) then f'(x) = (8x + 4x )v4x' + 8 -24x3 - 32x V4x- + 8 Rubric: Criteria Points Complete and correct proof 5 Last two major steps of proof are incorrect. Half of the proof is correct. First two major steps of the proof are correct. First major step of proof is correct