Applications of Differentiation - Stationary Points and Their Nature
Applications of Differentiation - Stationary Points and Their Nature
Find the coordinates of the stationary points on the curve \(y=x^3-3x+2\). Determine each of its nature by using the first derivative test. Hence, sketch the curve.
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Answer:Maximum point \((-1,4)\); minimum point \((1,0)\). The sketch crosses the \(x\)-axis at \((-2,0)\), touches it at \((1,0)\), and crosses the \(y\)-axis at \((0,2)\).
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