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If sin (xy) + (x)/(y) =x^(2) - y , " t...

If ` sin (xy) + (x)/(y) =x^(2) - y , " then " (dy)/(dx)` is equal to

A

`(y[2xy-y^2 cos(xy)-1])/(xy^2cos(xy)+y^2-x)`

B

`(2xy-y^2cos(xy)-1)/(xy^2cos(xy)+y^2-x)`

C

`(y[2xy-y^2cos(xy)-1])/(xy^2cos(xy)+y^2-x)`

D

None of these

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The correct Answer is:
A
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TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
  1. If siny=xsin(a+y), prove that (dy)/(dx)=(sin^2(a+y))/(sina)

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  2. If cosy=xcos(a+y), with cosa!=+-1, prove that (dy)/(dx)=(cos^2(a+y))/(...

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  3. If sin (xy) + (x)/(y) =x^(2) - y , " then " (dy)/(dx) is equal to

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  4. If ysqrt(x^2+1)=log{sqrt(x^2+1)-x} , then (x^2+1)(dy)/(dx)+x y+1 is eq...

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

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  6. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

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  7. If siny+e^(-xcosy)=e, then (dy)/(dx) at (1,pi), is

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  8. Let y be an implicit function of x defined by x^(2x)-2x^xcot y-1=0....

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  9. The dIfferential coefficient of x^6 with respect to x^3 is

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  10. Darivative of sin x w.r.t. cos x is

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  11. The derivative of sin^2x with respect to cos^2x is equal to....

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  12. The derivative of cos^(3)x w.r.t. sin^(3)x is

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  13. The derivative of log(10x) with respect to x^(2), is

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  14. The dIfferential coefficient of log10 x with respect to logx 10 is

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  15. If x=a cos^3theta,y=asin^3theta, then 1+((dy)/(dx))^2 is

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  16. If x = log (1 + t^(2)) " and " y = t - tan^(-1)t, " then" dy/dx is e...

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  17. If x=a(t-sint), y=a(1-cost), then (dy)/(dx) is equal to

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  18. If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (d...

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  19. If sinx=(2t)/(1+t^2) , tany=(2t)/(1-t^2) , find (dy)/(dx) .

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  20. Daribative of (log x) ^(x) w.r.t log x is

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