The function ‘ f ’ is defined by f (x) = x p (1 –x) q for all x ∈ R, where p,q are…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
The function ‘ f ’ is defined by f (x) = xp (1 –x)q for all
x ∈ R, where p,q are positive integers, has a local maximum value, for x equal to :
x ∈ R, where p,q are positive integers, has a local maximum value, for x equal to :
- \(\frac{\mathrm{pq}}{\mathrm{p}+\mathrm{q}}\)
- 1
- 0
- \(\frac{\mathrm{p}}{\mathrm{p}+\mathrm{q}}\)
Answer
(D) p p + q
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