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If y ^(2) = 4ax then 4a^2 (1+ y(1) ^(2)...

If `y ^(2) = 4ax ` then `4a^2 (1+ y_(1) ^(2)) ^(3//2) + (y ^(2) + 4a ^(2)) ^(3//2)y _(2)=`

A

0

B

1

C

`-1`

D

none

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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
  1. If x ^(3) - 3ax ^(2) + y ^(3) =0then y ^(5) y (2) =

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  2. If x ^(2) + y ^(2) =a ^(2) then ((1+ y (1) ^(2))^(3//2))/(|y(2)|)=

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  3. If y ^(2) = 4ax then 4a^2 (1+ y(1) ^(2)) ^(3//2) + (y ^(2) + 4a ^(2))...

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  4. If x ^(2) + 5xy + y^(2) =-2x + y -6=0 then y'' at (1,1) is

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  5. If sqrtx+ sqrty = sqrta then y (2)+ (1+ y(1)) ^(3) y =

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  6. If y = sin (x + y) then y (2) + (1+ y (1)) ^(3) y =

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  7. If x ^(2) - xy + y ^(2) =1 and y ''(1)=

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  8. If x ^(2) - 2x ^(2) y ^(2) + 5x + y-5 =0 and y (1) then y '' (1)=

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  9. If x = t ^(2), y = t ^(3) then (d ^(2) y)/(dx ^(2)) =

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  10. If x = (2/ t ^(2)), y = t ^(3) -1, then (d ^(2) y)/(dx ^(2))=

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  11. If x =a cos ^(3) theta, y= a sin ^(3) theta then (d^(2) y)/( dx ^(2)) ...

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  12. If x = cos theta + theta sin theta, y = sin theta - theta cos theta t...

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  13. If x =a ( theta + sin theta), y =a (1 - cos thea) then (d ^(2) y)/(dx ...

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  14. If x=a ( theta - sin theta), y =a (1 - cos theta) then y (2) at theta...

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  15. x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) ...

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  16. If y = (lot (e) x)/(x) and z = log (e) x, then (d ^(2) y)/(dz^(2)) + ...

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  17. If x = Sin ^(-1) t, y = sqrt(1- t ^(2)) then (d^(2) y)/(dx ^(2))=

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  18. If y = ((1)/(x)) ^(x) then y (1) (1) =

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  19. If f (x ) = ((1)/(x)) ^(x) then f'' ((1)/(e)) =

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  20. (d ^(2) x)/(dy ^(2)) equals :

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