Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeMonotonicity-Rolle's-theroemMedium2 minQB

MathematicsMediumsingle choice

If $f (x) = x^{α} lo g x$ and $f (0) = 0$ then the value of $α$ for which Rolle's theorem can be applied in [0,1] is

Answer:

Solution:

for the function $f (x) = x^{α} lo g x$ Rolle's theorem is applicable for $α > 0$ in [0,1]

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Monotonicity-Rolle's-theroem

⏱ 2mℹ️ Source: QB

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