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FUNDAMENTALS OF MATHEMATICS DIFFERENTIAL CALCULUS by Sanjay Mishra

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TUTORIAL EXERCISE
SECTION–III
ONLY ONE CORRECT ANSWER
  1. The function images is a strictly increasing function∀ xR –{–d / c} , if
    a. ad – bc < 0 b. ad – bc >0
    c. ab – cd > 0 d. ab – cd < 0
  2. If images is an increasing function, then (here a > 0)
    a. x∈[a, 2a) b. x∈(-∞,-a] ∪[0,a]
    c. x∈(-a, 0) d. None of these
  3. The interval in which f(x) = cot–1 x + x increases, is
    a. ℝ b. (0, ∞)
    c. ℝ – {nπ} d. None of these
  4. If f(x) = ax3 + bx2 + cx + d, where a,b,c,d are real numbers and 3b2 < c2, is an increasing cubic function and g(x) = af' (x) + bf'(x) ...

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