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"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "...

`"If "y^(1//m)=(x+sqrt(1+x^(2)))," then "(1+x^(2))y_(2)+xy_(1)` is (where `y_(r)` represents the rth derivative of y w.r.t. x)

A

my

B

`m^(2)y`

C

`m^(2)y^(2)`

D

None of these

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The correct Answer is:
B
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NAGEEN PRAKASHAN ENGLISH-Continuity and Differentiability-Exercies 5p
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  7. Given that f(x) = {{:((sqrt(1+kx)-sqrt(1-kx))/(x),if -1 le x lt 0),(...

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  11. If f(x)=sin^(-1) ((2x)/(1+x^2)) then f(x) is differentiable on

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  12. If tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x^2))}=alpha...

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  13. d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (a) (x^2-1)/(x^2-4) (b...

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  14. If x=acos^(3) theta, y=a sin^(3) theta, then ([1+((dy)/(dx))^(2)]^(3//...

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  15. If f (x) = tan ^(-1)sqrt((1 + sin x )/(1 - sin x)), 0 le x le (pi)/(2)...

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  16. The derivative of the function cot^(-1){(cos2x)^(1//2)} at x=pi//6 ...

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  17. If y^(2) = ax^(2) + bx + c where a, b c are contants then y^(3)(d^(2...

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  18. If x^2+y^2=t-1/t and x^4+y^4=t^2+1/(t^2) , then prove that (dy)/(dx)=1...

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  19. "If "y^(1//m)=(x+sqrt(1+x^(2)))," then "(1+x^(2))y(2)+xy(1) is (where ...

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  20. If y = sin ^(2) alpha + cos ^(2) (alpha + beta) + 2 sin alpha sin beta...

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