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The derivative of Sec ^(-1)"" (1)/( 2x ^...

The derivative of `Sec ^(-1)"" (1)/( 2x ^(2) -1) w.r.t . sqrt(1+ 3x ) at x =- 1/3` is

A

0

B

`1/2`

C

`1/4`

D

`1/8`

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The correct Answer is:
A
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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
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  2. If sin^(-1)((x^2-y^2)/(x^2+y^2)) = loga , then (dy)/(dx) is equal to

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  3. The derivative of Sec ^(-1)"" (1)/( 2x ^(2) -1) w.r.t . sqrt(1+ 3x ) a...

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  4. If r = [ 2 phi +cos^2(2phi+pi//4)]^(1//2) , then what is the value of ...

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

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  6. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

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  7. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

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  8. If y =(logx)^(x) then (dy)/(dx) =

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  9. If x^(m) y^(n)=(x+y)^(m+n) , then dy/dx is equal to

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  10. If y = 2^(2 ^(x)), then (dy)/(dx) =

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  11. If y = (sinx)^(x) then (dy)/(dx) =

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  12. If y=x^(cosx) then (dy)/(dx)=

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  13. d/(dx){x^(tanx)} =

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  14. If y = (ax+b)^(cx+d) then (dy)/(dx) =

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  15. The derivative of y = (1-x) (2-x) (3-x) ....(n-x) at x = 1 is

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

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

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

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

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  20. 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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