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The differentiable coefficient of x^(6) ...

The differentiable coefficient of `x^(6)` w.r.t. `x^(3)` is :

A

`6x^(5)`

B

`3x^(2)`

C

`2x^(3

D

`x^(3)`

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The correct Answer is:
C
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HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
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  2. A differentiable function f(x) is such that f91) =7 and f^(')(1) = 1/7...

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  3. The differentiable coefficient of x^(6) w.r.t. x^(3) is :

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  4. (d)/(dx)((x)/(2)sqrt(x^(2)+a^(2))+(a^(2))/(2)log(x+sqrt(x^(2)+a^(2))))...

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  5. If y = f((2x-1)/(x^(2)+1)) and f^(')(x) = sin x^(2), then dy/dx =

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  6. If y = x . tan y, then dy/dx =

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  7. The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...

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  8. If y = sqrt(tanx+sqrt(tan+sqrt(tanx+......,)))then dy/dx =

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  9. If y = 2^(ax) and dy/dx = log 256 at x =1, then the value of a is

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  10. If x^(y) = log x, the value of dy/dx at x = e is

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  11. d/dx {(cosx + sinx)/(cos x - sin x)} =

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  12. If f(x) = |x|, then f^(')(0) =

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

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

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

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

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

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

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

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

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