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Can someone explain the following calculus related question…?

April 26, 2017calculus explain

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Can someone explain the following calculus related question…?

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Its not homework so feel free to change numbers or whatever to make yourself comfortable to explain it… (a) Find the coordinates of the turning points of the function y = x3 – 27x, using calculus. (b) Identify the nature of these turning point by stating which is local maximum or local minimum. (c) Hence sketch the graph of the function in a suitable domain incorporating the results above.