AP Calculus/Calculus Review

AP Calculus/Calculus Review

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Section 1

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points of inflection

Front

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Mar 1, 2020

Cards (6)

Section 1

(6 cards)

points of inflection

Front

-2nd derivative = 0 and where concavity changes

Back

concavity

Front

-take 2nd derivative -set equal to 0 -set up number line -plug points into 2ND DERIVATIVE

Back

rolle's theorem

Front

1) check that you can use rolle's theorem -is it continuous? -is it differential? -are the outputs the same? 2) set derivative = to 0

Back

mean value theorem

Front

f(x) has to be continuous and differentiable defined over [a, b] (for closed--all numbers from a-b including a and b--versus open (a, b) which means all numbers from a-b not including a and b) if this is true, f'(c)=f(b)-f(a)/(b-a)

Back

extrema

Front

extrema = relative min or max derivative of the function = 0 plug in points to find where increasing a decreasing decreasing to the left and increasing to the right = local min increasing to the left and decreasing to the right = local max

Back

critical values

Front

-relative min/max only occur at cv cv are f'(c) = 0 or f'(c) = undef

Back