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The function f(x) = cos^–1 x + x increases in the interval.

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The function f(x) = x^x decreases on the interval.

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The function f(x) = 2log(x – 2) – x² + 4x + 1 increases on the interval.

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If the function f(x) = 2x² – kx + 5 is increasing on [1, 2], then k lies in the interval.

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Let f(x) = x³ + ax² + bx + 5 sin²x be an increasing function on the set R. Then, a and b satisfy.

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The function is of the following types:

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If the function f(x) = 2tanx + (2a + 1) log_e |sec x| + (a – 2) x is increasing on R, then

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Let f(x) = tan^–1 (g(x)), where g(x) is monotonically increasing for Then, f(x) is

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Let f(x) = x³ – 6x² + 15x + 3. Then,

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The function f(x) = x² e^-x is monotonic increasing when

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Function f(x) = cosx – 2λ x is monotonic decreasing when

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In the interval (1, 2), function f(x) = 2 |x – 1|+3|x – 2| is

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Function f(x) = x³– 27x +5 is monotonically increasing when

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Function f(x) = 2x³ – 9x² + 12x + 29 is monotonically decreasing when

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If the function f(x) = kx³ – 9x² + 9x + 3 is monotonically increasing in every interval, then

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f(x) = 2x – tan^–1 x – logis monotonically increasing when

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Function f(x) = |x| – |x – 1| is monotonically increasing when

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Every invertible function is

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In the interval (1, 2), function f(x) = 2|x – 1|+3 |x – 2| is

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If the function f(x) = cos|x| – 2ax + b increases along the entire number scale, then

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The function is

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The function is increasing, if

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Function f(x) = a^x is increasing or R, if

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Function f(x) = log_a x is increasing on R, if

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Let ϕ(x) = f(x) + f(2a – x) and f’’(x) > 0 for all xϵ[0, a]. The, ϕ(x)

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If the function f(x) = x² – kx + 5 is increasing on [2, 4], then

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The function defined on is

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If the function f(x) = x³ – 9k x² + 27x + 30 is increasing on R, then

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The function f(x) = x⁹ + 3x⁷ + 64 is increasing on