112. Let f ( x ) = (1 – x ) 2 sin 2 x + x 2 for all x ∈ R , and let for all x ∈ (1, ∞)…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
112. Let f(x) = (1 – x)2sin2x + x2 for all x ∈ R, and let 
for all x ∈ (1, ∞).
Which of the following is true ?
for all x ∈ (1, ∞). Which of the following is true ?
- g is increasing on (1, ∞)
- g is decreasing on (1, ∞)
- g is increasing on (1, 2) and decreasing on (2, ∞)
- g is decreasing on (1, 2) and increasing on (2, ∞)
Answer
(A) g is increasing on (1, ∞ )
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