Calc Extremum
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critical points
a point on a graph where the derivative is either zero or undefined.
f(x) has a relative maximum when...
f'(x) changes sign from + to -
when f(x) is decreasing...
f'(x) is negative
when f(x) is increasing...
f'(x) is positive
when f'(x) is decreasing...
f(x) is concave down
when f'(x) is increasing..
f(x) is concave up
poi on f(x) are...
relative extrema on f'(x)
point of inflection
the point where the graph changes concavity
relative extrema on f(x) are...
x-intercepts on f'(x)