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The expression of (dy)/(dx) of the funct...

The expression of `(dy)/(dx)` of the function `y=a^(x^(a^(x...^(oo))))`, is

A

`(y^(2))/(x(1-ylogx))`

B

`(y^(2)logy)/(x(1-ylogx))`

C

`(y^(2)logy)/(x(1-ylogxlogy))`

D

`(y^(2)logy)/(x(1+ylogxlogy))`

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-DIFFERENTIATION-Exercise
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  2. If y=tan^(-1){((log)e(e//x^2))/((log)e(e x^2))}+tan^(-1)((3+2\ (log)e ...

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  3. The expression of (dy)/(dx) of the function y=a^(x^(a^(x...^(oo)))), i...

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  4. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), then (dy)/(dx) equals

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  5. If y=e^(1+log(e)x), then the value of (dy)/(dx) is equal to

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  6. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

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  7. Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1, then derivative of f(x) with resp...

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  8. If y=e^(sin^(-1)x)" and "u=logx," then"(dy)/(du), is

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  9. The differential coefficient of f(x)=log(logx) with respect to x is

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  10. If y=(tan^- 1)(sqrt(1+x^2)-1)/x, then y'(1) is equal to

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  11. The derivative of sin^(-1)((sqrt(1+x)+sqrt(1-x))/(2)) with respect to ...

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  12. If f(x)=log(a)(log(a)x), then f'(x), is

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  13. The differential coefficient of f(logx) with respect to x, where f(x)=...

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  14. If x^(p) y^(q) = (x + y)^((p + q)) " then " (dy)/(dx)= ?

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

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  16. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x > 0. Find (dy)/(dx)...

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  17. If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

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  18. If f(x)=(log(cotx)tanx)(log(tanx)cotx)^(-1) +tan^(-1)((4x)/(sqrt(4-x...

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  19. If y=x^(x^(x^(x...^(oo)))) , then x(1-ylogx)(dy)/(dx)

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  20. If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=loga then (dy)/(dx) equals

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