TRENDS & RELATIVE EXTREMES. SIGN OF THE FIRST DERIVATIVE LOCATING EXTREMES CUBIC EXAMPLE [I] Sign Graph and Factor Graph of f \'(x) Sketch of f(x) QUINTIC EXAMPLE [4.5] REVENUE EXAMPLE  SEAGULL FUNCTION . Since the derivative of f is negative for x<0 and positive for x>0,
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negative for x<0 and positive for x>0,
we know f \ for x<0 and f / for x>0.
This is borne out in the graph of f.
M20 L29: Trends and Relative Extremes -- Slide 1