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The differential coefficient of sec^(-1)...

The differential coefficient of `sec^(-1)(1/(2x^2-1))` w.r.t `sqrt(1-x^2)` is

A

`-4`

B

4

C

`-1`

D

`-2`

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The correct Answer is:
A
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AAKASH INSTITUTE-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
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  2. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

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  3. The differential coefficient of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2)...

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

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  5. x=t cost, y=t+sin t. Then (d^2 x)/(dy^2) at t=pi/2 is

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  6. if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal to

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  7. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

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  8. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

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  9. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

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  10. If y = tan^(1-) sqrt((x+1)/(x-1)) " for " |x| gt 1 " then " (dy)/(dx)...

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  11. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

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  12. if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

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  13. Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),...

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  14. Rolle's theorem is not applicable to f(x) = |x| in [ -2,2] because

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  15. Lagrange's mean value theorem is not applicable to f(x) in [1,4] where...

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  16. The value of c in Lagrange's mean value theorem for the function f(x) ...

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  17. If f be a function such that f(9)=9 and f'(9)=3, then lim(xto9)(sqrt(f...

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  18. If f(x) = {{:(1/(1+e^(1//x)), x ne 0),(0,x=0):} then f(x) is

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  19. If f(x)=sqrt(1-sqrt(1-x^2) then at x=0

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  20. Domain of differentiable of the function f(x) = |x -2| cos x is

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