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If e^(y)+xy=e," then: "[(d^(2)y)/(dx^(2)...

If `e^(y)+xy=e," then: "[(d^(2)y)/(dx^(2))]_(x=0)` is equal to

A

`(1)/(e)`

B

`(1)/(e^(2))`

C

`(1)/(e^(3))`

D

`e^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
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  3. If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=

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  4. If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=

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  5. If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=

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  8. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

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  11. If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=

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  19. Defferential coefficient of x^(x)w.r.t.x*logx is

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  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

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