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If f(x)=|[3,2,1],[6x^(2),2x^(3),x^(4)],[...

If `f(x)=|[3,2,1],[6x^(2),2x^(3),x^(4)],[1,a,a^(2)]|` ,then `f''(a)=` is

Answer

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if f(x)=|[x-3,2x^2-18,3x^3-81],[x-5,2x^2-50,4x^3-500],[1,2,3]| then f(1)f(3)+f(3)f(5)+f(5)f(1) is equal to

Knowledge Check

  • If f(X)= |(x,x^(2),x^(3)),(1,2x,3x^(2)),(0,2,6x)| then f '(x) is equal to

    A
    `x^(3)+6x^(2)`
    B
    `6x^(3)`
    C
    3x
    D
    `6x^(2)`
  • If F(x)=|{:(x,x^(2),x^(3)),(1,2x,3x^(2)),(0,2,6x):}| then F'(x) is equal to

    A
    `6x^(3)`
    B
    `x^(3)+6x^(2)`
    C
    3x
    D
    `6x^(2)`
  • If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)| , then f^(1)(x)=

    A
    0
    B
    6x
    C
    `12x^3`
    D
    `6x^2`
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