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)


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