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If f(x) = (x-1)(x-2)(x-3), then f^(')(0)...

If f(x) = (x-1)(x-2)(x-3), then `f^(')(0) =`

A

0

B

1

C

11

D

6

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The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If f(x) = |x|, then f^(')(0) =

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

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  3. If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =

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  4. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (-1 l...

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  5. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (0 lt...

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  6. If y = sin^(-1) ((2x)/(1+x^(2)))+ sec^(-1)((1+x^(2))/(1-x^(2))), (x gt...

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  7. If y=tan^(-1)(( sin x + cosx)/(cosx-sinx)) then (dy)/(dx) is equal to

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  8. If y = tan^(-1) [(sqrt(1+sinx) + sqrt(1-sinx ))/(sqrt(1+sinx)-sqrt(1-s...

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  9. If y =x sin^(-1)x + sqrt(1-x^(2)), then dy/dx =

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  10. If y = tan^(-1) [(sqrt(1+sinx) + sqrt(1-sinx ))/(sqrt(1+sinx)-sqrt(1-s...

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  11. If y=tan^(-1)((4x)/(1-5x^(2)))+tan^(-1)((3+8x)/(8-3x)), then (dy)/(dx)...

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  12. d/dx [cos^(-1)((1-x^(2))/(1+x^(2)))] at x = -1/sqrt2.

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  13. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 1/2 is

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  14. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 3/2 is

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  15. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/3 is

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  16. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/sqrt2 is

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  17. d/dx [cos^(-1) (2x^(2)-1)] at x = -1/sqrt2 is

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  18. d/dx [cos^(-1) (2x^(2)-1)] at x = 1/sqrt2

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  19. If y = sin^(-1) (2x sqrt(1-x^(2))), then dy/dx at x = sqrt3/2 is

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  20. If y = sin^(-1) (2x sqrt(1-x^(2))), then dy/dx at x = 1/2 is

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