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[12 marks] 2. Let f(x) = =c$(9r' -8 -16). The second-order derivative of f(x) is given by f"(x) = 5x$ 10 +-I (i) [3 marks] Find f'(r). (ii) [2 marks] Find the critical point(s) of f (r). (iii) [2 marks] Find the singular point(s) of f(x). (iv) [2 marks] Find the interval(s) on which f(x) is decreasing. (v) [2 marks] Find the interval(s) on which f(r) is concave up. (vi) [1 marks] Find the interval(s) on which f(r) is concave down..Hand-in Assignment 4 for MATH 184 Due time: 11:59 pm on Dec. 2 ( Vancouver time) 1073 [14 marks] 1. Let f (x) = 12 - 1 (i) [3 marks] Find f'(r). (ii) [2 marks] Find the critical point(s) of f(x). (iii) [1 marks] Find the singular point(s) of f(z). (iv) [2 marks] Find the interval(s) on which f(x) is increasing. (v) [2 marks] Find f"(x). (vi) [2 marks] Find the interval(s) on which f(c) is concave down. (vii) [1 marks] Evaluate lim f(x). *+-1 (viii) [1 marks] Evaluate lim f(x). I-+00