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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
Let f(x)=x+3log⁡(x−2)f(x) = x + 3\log (x - 2) and g(x)=x+5log⁡(x−1),g(x) = x + 5\log (x - 1), then the set of xx satisfying the inequality f′(x)<g′(x)f'(x) < g'(x) is
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Correct option: D
(7/2,∞)(7/2,\infty )
Option D ((7/2,∞)(7/2,\infty )) is correct because it represents the interval where f'(x) < g'(x), considering the domain restrictions imposed by the logarithmic terms.

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