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tan^(-1)((6x)/(1+16x^(2)))...

`tan^(-1)((6x)/(1+16x^(2)))`

A

` (4)/( 1+16x^(2))-(1)/( 1+x^(2))`

B

` (4)/( 1+16x^(2))+(1)/( 1+x^(2))`

C

` (8)/( 1+64x^(2))-(2)/( 1+4x^(2))`

D

` (8)/( 1+64x^(2))+ (2)/( 1+4x^(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. tan^(-1)((a+btanx)/(b-atanx))

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  2. If y=tan ^(-1) ((a-x) /(1+x^(2))),then (dy)/(dx) =

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  3. tan^(-1)((6x)/(1+16x^(2)))

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  4. tan^(-1)((sqrt(x))/(1+20x))

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  5. If y=tan ^(-1) ((log ( (e)/( x^(3))) )/( log ( ex^(3)) ) ),then (dy)/...

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  6. If y =tan ^(-1) ((sqrt( a) -sqrt(x)) /( 1+sqrt( ax)) ) ,then (dy)/(dx)...

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  7. tan^(-1)((5-x)/(6x^(2)-5x-3))

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  8. Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^2)+tan^(-1)(2+3x)/(3-2x)

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  9. If y=tan ^(-1) ((x-a)/( x+a)),then (dy)/(dx)=

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  10. If y= tan ^(-1) ((acos x -bsin x )/( bcos x+asin x ) ) ,then (dy)/(dx...

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  11. If y = cot^(-1) ((1 -x)/(1 +x)) " then " (dy)/(dx) = ?

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  12. If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]...

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  13. If y =cot ^(-1) ((3+4tan x )/( 4-3tan x) ) ,then (dy)/(dx)=

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  14. If y=tan ^(-1) ((4x)/( 1+5x^(2))) +cot ^(-1) ((3-2x)/( 2+3x)),then (dy...

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  15. If the inverse function of y=f(x) is x=g(y) and f'(x) = 1/(1+x^2) , th...

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  16. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

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  17. Let f(x)=(x^2-x)/(x^2+2x) then d(f^(-1)x)/(dx) is equal to

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  18. If y= e^(m sin ^(-1)) x and (1-x^(2))((dy)/(dx))^(2)= Ay^(2). then ...

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  19. If y= (x+3)^(4) (x+4)^(5) (x+5) ^(6) ,then ( dy)/(dx)=

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  20. If y=( x+1)^((3)/(2) )(2x+3)^((5)/(2))(7-3x) ^((7)/(2)),then (dy)/(dx...

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