1. Tardigrade
  2. Question
  3. Mathematics
  4. The function ' f ' is defined by f(x)=xp(1-x)q for all x ∈ R, where p, q are positive integers, has a maximum value, for x equal to :

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Q. The function ' $f$ ' is defined by $f(x)=x^p(1-x)^q$ for all $x \in R$, where $p$, $q$ are positive integers, has a maximum value, for $x$ equal to :

Application of Derivatives

Solution:

Correct answer is (c) $\frac{p}{p+q}$