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If y = log {((1 +x)/(1-x )) ^(1//4) } -1...

If `y = log {((1 +x)/(1-x )) ^(1//4) } -1/2 Tan ^(-1) (x ),` then `(dy)/(dx)=`

A

`x/(1-x^2)`

B

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

C

`x/(1+x^4)`

D

`x/(1-x^4)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
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  2. The derivative of y = (1-x) (2-x) (3-x) ....(n-x) at x = 1 is

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  3. If y = log {((1 +x)/(1-x )) ^(1//4) } -1/2 Tan ^(-1) (x ), then (dy)/(...

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  4. f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

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  5. f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

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  6. d/(dx)[(cosx)^(logx)+(logx)^(x)] =

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  7. If f(x) = cos x cos 2x cos 2^2 x cos^(2^3) x .....cos 2^(n-1) x and n ...

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  8. d/(dx)(log(e^x((x-2)/(x+2))^(3//4))) equal to

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  9. y = log^(n)x x where log^(n) means log.log.log ....(repeated n times) ...

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  10. If x = a cos^(4)t , y = b sin^(4)t then (dy)/(dx) at t = (3pi)/4 is

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  11. If x =cos^3 theta, y = sin^3 theta then sqrt(1+((dy)/(dx))^2)=

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  12. If x = a (t + sin t), y = a (1- cost) and (dx)/(dy) =cot p then p =

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  13. If x = "cosec" theta - sintheta, y = "cosec"^(n)theta - sin^(n) theta ...

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  14. If x = a (1-cos theta) , y = a ( theta + sin theta) then (dy)/(dx) a...

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  15. If x = a Sin 2 theta (1+Cos2 theta) , y = b Cos2 theta (1-Cos2 theta) ...

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

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  17. x = cos^(-1)((1)/(sqrt(1+t^(2)))),y = sin^(-1)((t)/(sqrt(1+t^(2))))rAr...

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  18. x ^(2) + y^(2) = t + 1/t, x ^(4) + y^(4) = t ^(2) + (1)/( t ^(2)) impl...

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  19. A function is represented parametrically by the equations x=(1+t)/(t^3...

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  20. If x+ y = sin(x+y) then (dy)/(dx) =

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