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Show that the side you are evaluating exists
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If it is defined @ value plug it in
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First
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Second
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1. Take derivative and find c.v.
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1. Take and find c.v.
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2. Use a sign chart
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2. Use a sign chart
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+ is inc. / - is dec.
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+ is CC up / - is CC down
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shows extrema
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shows inflection points
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* test endpoints
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*if checking extrema sign is the opposite
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IF f is a function that is continuous over the interval [a,b] and m is some number between f (a) and f (b), THEN there exists a number c between and b such that f (c)=m.
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IF:
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- [a,b] is continuous
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- (a,b) is differentiable
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- f(a)=f(b)
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THEN:
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f'(c)=0
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1. Draw a picture and label
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2. Use formula for area/volume of shape
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3. Take derivative of formula
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4. Plug in values to each formula as needed
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*One variable will NOT have a rate of change (ex. ladder)
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