Finding the area of a region bounded by curves or lines
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Find any relative extrema and inflection points of the function y= x
a. y = x2 ln x
dy/dx =
To find teh relative extrema, we set dy/dx = 0
Or x(1 + 2ln x) = 0
Or x = 0, because ln cannot go into the negative.
Clearly, x = 0 is a point of inflection
b. y = x
dy/dx =
To find the relative extrema, we set dy/dx = 0, which doesn't give anything here.
Therefore, there is no local maxima or minima for this curve.
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