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If x = cos theta + theta sin theta, y = ...

If `x = cos theta + theta sin theta, y = sin theta - theta cos theta ` then `(d ^(2) y)/(dx ^(2)) =`

A

`(cosec ^(3) theta )/(theta )`

B

`(sec^(3) theta)/(theta)`

C

`(tan ^(3) theta)/(theta)`

D

`( cot ^(3) theta)/(theta)`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
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  3. If x = cos theta + theta sin theta, y = sin theta - theta cos theta t...

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

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

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

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

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

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  14. Let f be a twice differentiable functin such that f''(x) - f(x) and f'...

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  15. If f:RrightarrowR is an even function having derivatives of all orders...

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

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