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If x =a cos ^(3) theta, y= a sin ^(3) th...

If `x =a cos ^(3) theta, y= a sin ^(3) theta then (d^(2) y)/( dx ^(2)) at theta = pi //4` is

A

`(3a )/( 4 sqrt2)`

B

`(1)/(12 sqrt(2a))`

C

`(4 sqrt2)/(3a)`

D

` (-4 sqrt2)/(3a)`

Text Solution

Verified by Experts

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

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

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

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

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

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

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