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    Topics || Problems

    Find the slope of the curve \(x^2 +y^2 = 25\) at (3,4).

    Slope = \(\frac{dy}{dx}\)

    \(2xdx + 2ydy = 0\)

    At \((3,4)\), \(2(3)dx + 2(4)dy = 0\)

    \(6dx + 8dy = 0\)

    \(8dy = -6dx \)

    \(\frac{dy}{dx} = \frac{-3}{4}\)