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Math Help - Find the value of the determinant

  1. #1
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    Find the value of the determinant

    Question : Find the value of the determinant

    D= \begin{vmatrix} x+a & b & c \\ a & x+b & c \\ a & b & x+c \end{vmatrix} Compute \frac{dD}{dx} |_{x=1}

    ---------------------------------------------------------------
    Solution:
    (My work)

    |D| = x^3 + ax^2 + bx^2 + cx^2 = x^3 + x^2(a+b+c)

    \frac{dD}{dx} |_{x=1} ..............I am stuck here i dont know what to do here
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  2. #2
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    Quote Originally Posted by zorro View Post
    Question : Find the value of the determinant

    D= \begin{vmatrix} x+a & b & c \\ a & x+b & c \\ a & b & x+c \end{vmatrix} Compute \frac{dD}{dx} |_{x=1}

    ---------------------------------------------------------------
    Solution:
    (My work)

    |D| = x^3 + ax^2 + bx^2 + cx^2 = x^3 + x^2(a+b+c)

    \frac{dD}{dx} |_{x=1} ..............I am stuck here i dont know what to do here
    You will be happy to know that your expression for the determinant is correct. Now differentiate it with respect to x. Then substitute x = 1 into the derivative.
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  3. #3
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    I did it correctly .........yippy .........and mr fantastic praised me
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