The function is a strictly increasing
function∀ x ∈ R –{–d / c} , if

a. ad – bc < 0

b. ad – bc >0

c. ab – cd > 0

d. ab – cd < 0

If 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

The interval in which f(x) = cot^{–1}x + x increases, is

a. ℝ

b. (0, ∞)

c. ℝ – {nπ}

d. None of these

If f(x) = ax^{3} + bx^{2} + cx + d, where a,b,c,d are real numbers and 3b^{2} < c^{2}, is an increasing cubic function and g(x) = af' (x) + bf'(x) ...

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