(3) Give the derivative f'(x) of each function below. For this question, no justification is [3pts] required. (a) f(x) = arcsin(-2x) f (x ) = (b) f (2) = ecos(it) f' (ac ) = 2x ( c) f(20 ) = f' ( 20 ) = 3x + 1 [2pts] (4) The velocity of a particle at time t is given by v(t) = sin(t) - cos(t) + 1. Find the position s(t) of the particle at time t if you know that s(0) = 0.Co (2) Find the derivative of f (2 ) = 02 + 1 using the definition. You may not use any differentiation rules from class, only the defini- tion involving a limit. Be sure to show all relevant steps.University of Ottawa MAT 1320B Final Exam (3) Give the derivative f'(x) of each function below. For this question, no justification is [3pts] required. (a) f(x) = arcsin(-2x) f' (x ) = (b) f (2) = ecos(2) f' (I ) = 2x ( c) f (2 ) = = 3x + 1 f' ( 20 ) = [2pts] (4) The velocity of a particle at time t is given by v(t) = sin(t) - cos(t) + 1. Find the position s(t) of the particle at time t if you know that s(0) = 0