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If f(x)={:abs((x+a^(2),ab,ac),(ab,x+b^(2...

If `f(x)={:abs((x+a^(2),ab,ac),(ab,x+b^(2),bc),(ac,bc,x+c^(2))):}`, then find `f'(x).`

A

x

B

`x^(2)`

C

`x^(3)`

D

`x^(4)`

Text Solution

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The correct Answer is:
A, B, C, D
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If a,b,c are real numbers, then find the intervals in which f(x) = {:|(x+a^2,ab,ac),(ab,x+b^2,bc),(ac,bc,x+C^2)| is striclty increasing or decreasing.

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Knowledge Check

  • The determinant |{:(b^(2)ab,b-c,bc-ac),(ab-a^(2),a-b,b^(2)-ab),(bc-ac,c-a,ab-a^(2)):}| equals

    A
    `abc(b-c)(c-a)(a-b)`
    B
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    C
    0`
    D
    None of these

  • If f(x)=abs(x) and g(x)= [x] then f@g(-1/2) is

    A
    0
    B
    1
    C
    -2
    D
    -1

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