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If y=f((2x+3)/(3-2x)) and f(x)=sin(logx)...

If `y=f((2x+3)/(3-2x))` and `f(x)=sin(logx)`, then `(dy)/(dx)=`

A

`12/(9-4x^2)cos{log""(2x+3)/(3-2x))}`

B

`12/(4x^2-9)cos{log""(2x+3)/(3-2x))}`

C

`12/(9-4x^2)cos{log""(3-2x)/(2x+3))}`

D

None of these

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A
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  10. If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...

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  11. If y = sin[cos^(-1){sin(cos^(-1) x)}], "then" (dy)/(dx)" at x" = (1)/...

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  12. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

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  13. If the function f defined on R-{0} os a dIfferentiable function and f(...

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  15. If y=f(x^3),z=g(x^5),f'(x)=tanx and g'(x)=sec x, then (dy)/(dz)=

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  17. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

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  18. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

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  19. If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim(x...

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  20. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

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