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Grade 12Differential Calculus

Please prove …..and also give explanation sir please

Question image for Please prove …..and also give explanation sir plea
Profile image of milind
11 Years agoGrade 12
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2 Answers

Profile image of Jitender Singh
11 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
Profile image of milind
11 Years ago
Sir but what is answer

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