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4.3

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harryprim's version from 2015-11-05 06:15

Section

Question Answer
Fermat's TheoremIf f(c) is a local extrema and f is differentiable, then f'(c)=0
Local Extrema always....occur at critical points, but not all critical points are local extrema
Mean Value Theorem If f is continuous on (a,b) & [a,b], then f'(c)=(f(b)-f(a))/b-a
If f''(c)>0, then...c is a local minium of f & concave up
If f''(c)<0, then...c is a local maximum of f & concave down
f is increasing/decreasing if,,,f'(x)>0 / f'(x)<0
To find if f is increasing...Set up a number line with critical points and take the a value in each interval and plug into f'(x)
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