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5 Cards in this Set
- Front
- Back
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Extremas |
absolute max/min = in all of domain local max/min = points near c |
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L'hospital's rule |
indet for of 0/0 or infinity/infinity then take the limit of derivative of num/derivative of denom |
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Constancy |
if f'(x) = 0 for all x in an interval (a,b) then f is constant on (a,b) |
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Optimization |
1. write equation for what is trying to be optimized, write domain 2. find another equation (usually a restraint) that allows you to write one variable in terms of the other and solve 3. plug into main equation, differentiate, set to 0 and solve 4. test endpoints and crit numbers by CIM and 1st deriv test |
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Antiderivatives |
F'(x) = f(x) general form: F(x) + C |
