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Please prove …..and also give explanation sir please

Please prove …..and also give explanation sir please

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Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
y = log^{n}x
y = loglogloglog..............log(x)
\frac{dy}{dx} = \frac{1}{log^{n-1}x}.\frac{1}{log^{n-2}x}..........\frac{1}{log^{2}x}.\frac{1}{logx}.\frac{1}{x}
L = x.logx.log^{2}x..................log^{n-1}x.log^{n}x.\frac{dy}{dx}
L = x.logx.log^{2}x.....log^{n-1}x.log^{n}x. \frac{1}{log^{n-1}x}.\frac{1}{log^{n-2}x}..........\frac{1}{logx}.\frac{1}{x}
L = log^{n}x
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

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