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If f(x)=(1)/(1-x), then the derivative o...

If `f(x)=(1)/(1-x)`, then the derivative of the composite function f[f{f(x)}]` is equal to

A

0

B

`1/2`

C

1

D

2

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The correct Answer is:
C
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TARGET PUBLICATION-DIFFERENTIATION -COMPETITIVE THINKING
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  4. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

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  5. If g(x) is the inverse function of f(x) and f'(x)=(1)/(1+x^(4)), then ...

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  9. If f (x) = log(x) (log x), then f'(x) at x = e is …….. .

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  10. If f(x)=sqrt(1+cos^2(x^2)),thenf'(sqrtpi/2) is

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  11. If : f(x)=(sin^(2)x)/(1+cotx)+(cos^(2)x)/(1+tanx)," then: "f'((pi)/(4)...

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  12. d/(dx)tan^-1((1-x)/(1+x))=

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

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

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  16. यदि y= sec tan ^(-1) x, तब (dy)/(dx) =

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  17. the derivative of tan^-1 (6xsqrtx)/(1-9x^3) is sqrtx g(x) then g(x) is...

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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=sin^(-1)[x(1-x)-sqrtxsqrt(1-x^(2))], find (dy)/(dx),

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