University:
Ohio State University
Course:
MATH 1151 | Calculus I
Academic year:

2023
Views:

148

Pages:

2
Author:

zbag16w9h1

critical point: f'(c)=0 or DNE incr/decr: 1) find crit pts of f 2) make sign chart for f' 3) plug in values to determine if incr or decr find abs max/min of f on [a,b] 1) evaluate f @ x = a,b (endpoints) 2) find crit pts on [a,b] (set der=0) & evaluate f @ crit pts 3) compare values (largest=abs max; smallest=abs min concavity: 1) f''(x) 2) sign chart for f'' 3) test for concavity 4) inflection pt = where concavity switches optimization 1) draw diagram & introduce variables 2) write down conditions on the variables 3) determine the quantity to be maximized/minimized 4) write down an equation for the quantity to max/min & reduce # of variables 5) use der to find max/min value

Calc Final Cheat Sheet - Calculus

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