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

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

A

`15 t ^(2)`

B

`(15)/(16 t ^(2))`

C

`(15 t ^(7))/(16)`

D

` 16t ^(2)`

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
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  3. If x = (2/ t ^(2)), y = t ^(3) -1, then (d ^(2) y)/(dx ^(2))=

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

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

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

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  15. Let f (x) be a polynonial of degree 4 with f (2) =-1, f '(2) =0-, f ''...

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  18. If f : RR to R is an even function which is twice differentiable on RR...

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  20. If P (x) is a polynomial of 2nd degree and P (2) =-1, P'(2) =0 and p''...

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