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x = cos theta, y = sin 5 theta implies (...

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

A

`-5y`

B

`5y`

C

`25y`

D

`-25y`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
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  4. The nth derivative of xe^x vanishes when

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  7. y=x+e^x , then (d^2x)/(dy^2) is equal to

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  10. If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)|, then f^(1)(x)=

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  11. Let y = t^(10) +1 and x = t^8 +1 . Then (d^2y)/(dx^2) is

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  12. If x = log p and y = 1/p then

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  13. If y = ax^(n+1)+bx^(n+1) then x^2(d^2y)/(dx^2) is equal to

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  14. If x = phi (t), y = Psi(t) then (d^2y)/(dx^2) is

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  15. If x = a sec^2 theta, y = aTan^3 theta then (d^3y)/(dx^3) =

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

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  18. If alpha be a repeated root of a quadratic equation f(x) = 0 and A(x)...

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  20. The nth derivative of the function f(x)=1/(1-x^2) [where x in (-1,1) ...

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