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Differential Calculus> Please prove …..and also give explanation...

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Please prove …..and also give explanation sir please

milind , 10 Years ago

Grade 12

2 Answers

Jitender Singh

Last Activity: 10 Years ago

Ans:

$y = log^{n}x$

$\frac{dy}{dx} = n.log^{n-1}x.\frac{1}{x}$

$L = x.logx.log^{2}x.log^{3}x.log^{4}x........log^{n}x.\frac{dy}{dx}$

$L = x.logx.log^{2}x.log^{3}x.log^{4}x........log^{n}x. n.log^{n-1}x.\frac{1}{x}$

$L = n.logx.log^{2}x.log^{3}x.log^{4}x........log^{n}x.log^{n-1}x$

$L = n.log^{(1+2+3+4+.........+n)}x.log^{n-1}x$

$L = n.log^{n(\frac{n+1}{2})}x.log^{n-1}x$

$L = n.log^{(\frac{n(n+1)}{2}+(n-1))}x$

Thanks & Regards

Jitender Singh

IIT Delhi

askIITians Faculty

milind

Last Activity: 10 Years ago

Sir but what is answer

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