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प्रश्न
Find \[\frac{d^2 y}{d x^2}\] where \[y = \log \left( \frac{x^2}{e^2} \right)\] ?
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उत्तर
Here,
\[y = \log\left( \frac{x^2}{e^2} \right)\]
\[\text { Differentiating w . r . t . x, we get }\]
\[\frac{d y}{d x} = \frac{1}{\frac{x^2}{e^2}} \times \frac{2x}{e^2} = \frac{2}{x}\]
\[\text { Differentiating again w . r . t . x, we get }\]
\[\frac{d^2 y}{d x^2} = \frac{- 2}{x^2}\] ?
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