Question: Question 2 (a) Define the function f: R - R by f(x) = Jer x#0 1 x=0 Determine whether f is differentiable at 0. (6

Question 2 (a) Define the function f: R - R by f(x) = Jer x#0 1 x=0 Determine whether f is differentiable at 0. (6 marks) (b) Define the function g: R - R by (a+x3 if x 1. If g is continuous at 1, determine the values of a and b. Show all your steps clearly. With the values of a and b found, determine whether g is differentiable at 1. Justify your answer. (8 marks) (c) Calculate the value of arcsinx + arccosx' for |x |$ 1. (6 marks)

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