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If y = sec^(-1) (sqrt(x+1)/(sqrt(x-1)))+...

If y = `sec^(-1) (sqrt(x+1)/(sqrt(x-1)))+ sin^(-1)(sqrt(x-1)/(sqrt(x+1)))` then `(dy)/(dx)`=

A

1

B

0

C

`(sqrt(x)+1)/(sqrt(x)-1)`

D

`(sqrt(x)-1)/(sqrt(x)+1)`

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Exercise
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  2. If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to (a...

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  3. If y = sec^(-1) (sqrt(x+1)/(sqrt(x-1)))+ sin^(-1)(sqrt(x-1)/(sqrt(x+1)...

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  4. If x^2+y^2=(t+1/t) and x^4+y^4=t^2+1/t^2, then x^3y(dy)/(dx)=

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  5. y= tan^(-1)(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2)) then dy...

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  6. If y=int0^xf(t)sin{k(x-t)}dt, then prove that ((dt^2y)/(dx^2))+k^2y=kf...

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  11. If f(1)=1,f^(prime)(1)=2, then write the value of (lim)(x->1)(sqrt(f(x...

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  15. If y=sin^(2)alpha+cos^(2)(alpha+beta)+2sinalphasinbetacos(alpha+beta),...

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  16. If y=cos2xcos3x, then y(n) is equal to

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  17. If f(x)=(x+1)tan^(-1)(e^(-2x)), then f'(0) is

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  18. if f(x)=3e^(x^2) then f'(x)-2xf(x)+1/3f(0)-f'(0)

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  19. If y=ce^(x//(x-a)), then (dy)/(dx) equals

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  20. If y=sin^(-1)((sinalphasinx))/(1-cos alphasinx), then y'(0), is

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