JEE MATHEMATICS MCQ: INCREASING & DECREASING

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Analyzing +4 | -1

f(x)=4 \log _e(x-1)-2 x^2+4 x+5, x>1

which one of the following is NOT correct?

View answer and explanation

Correct option: A

f

is increasing in

(1,2)

and decreasing in

(2

Option A is NOT correct because the function f(x) is increasing in (1,2) and decreasing in (2, infinity) based on the derivative analysis.

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f\left( x \right) = \frac{{K\sin x + 2\cos x}}{{\sin x + \cos x}}

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g

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f\left( x \right) = {x^3} + b{x^2} + cx + d

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\left( { - \infty ,\;\infty } \right)