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

y = `sec^(- 1)((x+1)/(x-1))+sin^(- 1)((x-1)/(x+1))`, x > 0. Find dy/dx

A

1

B

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

C

0

D

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

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Exercise
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  3. y = sec^(- 1)((x+1)/(x-1))+sin^(- 1)((x-1)/(x+1)), x > 0. Find dy/dx

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  4. If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

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  5. If f(x)=(log(cotx)tanx)(log(tanx)cotx)^(-1) +tan^(-1)((x)/(sqrt(4-x^...

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

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  9. 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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  10. 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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  11. If y=int0^xf(t)sin{k(x-t)}dt, then prove that ((dt^2y)/(dx^2))+k^2y=kf...

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  12. If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}|, where p i...

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  13. If f(x)=x+2," then "f'(f(x))" at "x=4, is

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  14. "If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2)) is

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

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  17. If variables x and y are related by the equation x=int(0)^(y)(1)/(sq...

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  18. The differential coefficient of a^(log10" cosec"^(-1)x), is

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  19. about to only mathematics

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

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