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Class 12 Maths
Application Of Derivatives
Quiz 3
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The function f(x) = x + cos x is
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always increasing
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always decreasing
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increasing for certain range of x
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None of these
Explanation
always increasing
The function which is neither decreasing nor increasing in (\(\frac{π}{2}\), \(\frac{3π}{2}\)) is
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cosec x
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tan x
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x²
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|x – 1|
Explanation
tan x
The function /’defined by f(x) = 4 – 2x + 1 is increasing for
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x < 1
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x > 0
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x < \(\frac{1}{2}\)
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x > \(\frac{1}{2}\)
Explanation
x > \(\frac{1}{2}\)
The interval in which the function y = x³ + 5x² – 1 is decreasing, is
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(0, \(\frac{1}{3}\))
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(0, 10)
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(\(\frac{-10}{3}\), 0)
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None of these
Explanation
(\(\frac{-10}{3}\), 0)
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