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Saddle Points and Turning Points

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Explanations 1

Consider the point (0,0)(0,0)(0,0) on the graphs of y=x2y=x^2y=x2 and y=x3y=x^3y=x3. Clearly, it is a stationary point on both graphs, but there is a very clear difference betwe…
By Sujay Kazi

Problems 1

The function f(x)=x3f(x) = x^3f(x)=x3 has a critical point at x=0x=0x=0. Classify this critical point into one of the following categories: