Applications of Differentiation - Derivative as the Gradient of a Curve
Applications of Differentiation - Derivative as the Gradient of a Curve
TGM Original Questions
The straight line \(x + 2y - 8 = 0\) meets the curve \(xy + 10 = 0\) at the points \(A\) and \(B\). Find the gradients of the curve at \(A\) and \(B\), respectively.
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Answer:At \((-2,5)\), the gradient is \(\dfrac52\); at \((10,-1)\), the gradient is \(\dfrac1{10}\).
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