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If ax^(2)+2hxy+by^(2)=0,"show that "(d^(...

If `ax^(2)+2hxy+by^(2)=0,"show that "(d^(2)y)/(dx^(2))=0`

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To prove that \(\frac{d^2y}{dx^2} = 0\) given the equation \(ax^2 + 2hxy + by^2 = 0\), we will follow these steps: ### Step 1: Differentiate the given equation implicitly with respect to \(x\). Starting with the equation: \[ ax^2 + 2hxy + by^2 = 0 \] ...
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Knowledge Check

  • If ax^(2)+2hxy+by^(2)=0 then (dy)/(dx) is

    A
    `(y)/(x)`
    B
    `(x)/(y)`
    C
    `-(x)/(x)`
    D
    None of these

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