(chatquestion)...x,+x, +...+x, f(x,)+f(x,)++f(x.) where all x, eR are independent to each 66. Let f other and neN. If fx) is differentiable and f'(0) a, f(0) b then f'(x) is equal to (A) a (C) b (D) ab (B) 0 Let f(x) x²-bx + c, b is an odd positive integer, f(x) 0 have two prime numbers as roots and b+c = 35. Then the global minimum value of f(x) is 67. 183 81 173 (B) 16 (A) (C) 4. (D) Data not sufficient 4 68. If f(x) x' +2bx + 2c² and g(x)=-x'-2cx +b such that min (f(x)) > max (g(x)), then the relation between b and c is (A) No real value of b and c (B) 0<c<b/2 (C) ck|b|V2 • (D) |c/>|b|/2 N characters of information are held on magnetic tape, in batches of x characters each; the batch processing time is a+Bx seconds; a and B are constants. The optimal value of x for fast processing is 69 maan (A) (B) (C) (D) 70. Equation of tangents to the curve y =...(66 and 69)

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