Question * Given the graph of f(x) as follows. Which of the following diagram is its f'(x). for) _ _ for) III )2 IV {a} | (b) II {C} III (d) IV Question * For the following f (x), determine ALL the x value/values where f (x) is not differentiable: 0, x50 f (x) = 15-x, 01 2x+5 (a) TRUE ([3) FALSE 0 (a) O (b) Ques0n* Determine whether for a given f(x) = if; , its derivative at x = 0 does not exist [f'(0) does not exist]. (a) TRUE (b) FALSE 0 (a) O (b) Queson* Given a function as y = x2 sin 2x . The differential of the function is: dy = 21(c052x + sin 2x)dx . (a) TRUE (b) FALSE 0 (a) O (b) Queson* Let f(x) = e"g(x). By using the product rule, determine whether f'(0) = 7 if given g(0) = 2 and g'(0) = 5. (a) TRUE (b) FALSE 0 (a) O (b) Question * If n is a positive integer, determine that whether (sin" xcosnx) = nsin"-xcos(n -1)x. (a) TRUE (b) FALSE O (a) O (b) Question * Based on the given diagram of the f'(x) graph, determine the interval where f (x) is increasing, and f (x) has a local minimum. f' (x) 6 (a) (0,3) and at x = 0, 6 (b) (0, 3) and at x = 1, 5 (c) (1,5) and at x = 0, 6 (d) (1, 5) and at x =1 O (a) O (b) O (c) B O (d)Question * Determine whether the following Jx) and its f'[x) is correct: (a) TRUE (b) FALSE