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If x^2e^y+2xye^x+13=0 then (dy)/(dx)=...

If `x^2e^y+2xye^x+13=0` then `(dy)/(dx)=`

A

`(-2xe^(y-x)+2y(x-1))/(x(xe^(y-x)+2))`

B

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

C

`(2xe^(y-x)+2y(x-1))/(x(xe^(y-x)+2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
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  11. If y=f(x)andx=g(y) are inverse functions of each other, then

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  12. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

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  15. If f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta))), where -pi/4 lt ...

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  19. If f(x)=cot^(-1)((x^(x)-x^(-x))/(2)) then f'(1) equals

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  20. The function f(x)=e^x+x , being differentiable and one-to-one, has a d...

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