y=x^{3}-8x^{2}+19x-11 c]State the relative minimum and maximum points of the function. d) State the intervals where the function is increasing and decreasing.

How do I find relative minimum & maximum points with differential calculus?

A relative maximum point is a point where the function changes direction from increasing to decreasing (making that point a "peak" in the graph).

Similarly, a relative minimum point is a point where the function changes direction from decreasing to increasing (making that point a "bottom" in the graph).

Supposing you already know how to find increasing & decreasing intervals of a function, finding relative extremum points involves one more step: finding the points where the function changes direction.

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