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

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

A

-1

B

-2

C

1

D

2

Text Solution

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
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  3. If xe^(xy)=y+sin^2x then at x=0 (dy)/dx=

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. DIfferential coefficient of tan^-1(x/(1+sqrt(1-x^2)))w.r.t sin^-1x is

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  20. The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1) is

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