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If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n...

If `f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3)`
` + ...+ n^(x) , "then" f''(1) ` is equal to

A

` n(n-1) 2^(n-2)`

B

` n(n-1) ^(2n )`

C

` n(n-1) ^(2n-1)`

D

` (n-1) ^(2n -1) `

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The correct Answer is:
A
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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  2. if (x-a)^2+(y-b)^2=c^2 then {1+((dy)/(dx))^2}/{(d^2y)/(dx^2)} =?

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  3. If f(x) =1 + nx+ (n(n-1))/(2) x^(2) + (n(n-1)(n-2))/(6) x^(3) + ...+...

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  4. If y=5" cos"x-3" sin"x, prove that (d^(2)y)/(dx^(2))+y=0.

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  5. If y=sec x -tan x ,then (d^(2)y)/(dx^(2)) =

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  7. If y= sin x sqrt ( cos x ) ,then (d^(2)y)/(dx^(2)) =

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  8. If y=cos (log x) ,then (d^(2)y)/(dx^(2))=

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  9. The number of values of b , for which in an acute triangle A B C , the...

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  12. if y=tan^(- 1)x ,find (d^2y)/(dx^2).

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  15. If y = log(sin x), find (d^2y)/(dx^2)

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  16. "If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

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  17. If x^(2)+y^(2) =1,then (d^(2)y)/(dx^(2)) =

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  18. If sin ( x+y) +cos (x+y) =log (x+y) ,then (d^(2)y)/(dx^(2))=

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  19. If sec((x+y)/(x-y))=a^(2),"then "(d^(2)y)/(dx^(2))=......

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  20. If e^(y) +xy = e, the ordered pair ((dy)/(dx),(d^(2)y)/(dx^(2))) at x...

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