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Class-12-science»Maths

Question number 28..

Dear student

f (x) = x^{2} \log_{3} x = x^{2} \frac{\log x}{\log 3} f' (x) = x^{2} \frac{1}{x \log 3} + 2 x \frac{\log x}{\log 3} = \frac{(x + 2 x \log x)}{\log 3} f' (x) = 0 (x + 2 x \log x) = 0 x = 0, o r 1 + 2 \log x = 0 o r x = e^{- 1 / 2} b u t \log x i s n o t d e f i n e d a t x = 0 t h e r e i s c h a n g e o f n a t u r e o s s h a p e i n i n t e r v a l (0, e^{- 1 / 2}) a n d (e^{- 1 / 2}, \infty) a n d e^{- 1 / 2} < e^{1 / 2} < e o p t i o n D, n o n e o f t h e s e

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