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If y = loga x + log xa + log x x + logaa...

If `y = log_a x + log _xa + log _x x + log_aa`, then`dy/dx` is equal to

A

`(1)/(x) + x log a `

B

`(log a)/(x) + (x)/(log a )`

C

`(1)/(x log a) + x log a`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Given ,`y = (log x)/(log a) + (loga)/(log x) + 1 + 1`
` rArr (dy)/(dx) = (1)/(x log a) - (loga)/(x(log x)^(2))` .
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIATION -EXERCISE 2 (MISCELLANEOUS PROBLEMS)
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  4. If x = e^(x//y), then dy/dx is equal to

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  6. If y = t^(2) + t - 1 " then " (dy)/(dx) is equal to

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  7. If xe^(xy)=y+sin^2x then at x=0 (dy)/dx=

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  12. The value of (d)/(dx) (|x-1| + |x -5|) at x = 3 is

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  13. If y=f(x)" and "ycosx+cosy=pi, then the value of f''(0) is

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  14. Derivatives of y = cos^(-1) sqrt((cos 3x)/(cos ^(3) x)) with respect ...

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  15. if sqrt(x^2+y^2)=ae^(tan^-1 (y/x)) , a > 0, (y(0) > 0) then y"(0) equa...

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  20. If u = x^(2) + y^(2) " and " x = s + 3t, y = 2s - t , " then " (d^(2...

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