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Derivative of `log_(e^(2))(logx)` with respect to x is . . .A. `2/(xlogx)`B. `1/(xlogx)`C. `1/(xlogx^(2))`D. `2/(logx)` |
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Answer» Correct Answer - C Let `y=log_(e^(2))(logx)` `rArry=1/2log_(e)(logx)(thereforelog_(a^(n))(x)=1/nlog_(a)x)` On differentiating both sides w.r.t.x, we get `(dy)/(dx)=1/21/(logx)d/(dx)(logx)` `=1/(log^(2))dot1/x=1/(xlogx^(2))` |
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