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AP Calculus-AB worksheets by topics Fu n c t i o n s , L i mi t s , & Co n t i n u i t y D i f f e re n t i a t i o n 1. I n te re s t i n g G ra p h s - A few equations to graph that have interesting (and hidden) features. pdf 2. Fu n c t i o n s - Properties of functions and the Rule of Four (equations, tables, graphs, and words).
A.P. Calculus Formulas 1. floor function (def) Greatest integer that is less than or equal to x. 2. x (graph) 3. ceiling function (def) Least integer that is greater than or equal to x. 4. x (graph) 5. a 3b b a b gc a 2ab b h 6. ab33 b a b gc a 2ab b h
_______________________________________________________________________ First Derivative Test: Let c be a critical number of a function f that is continuous on an open interval I containing c. If f is differentiable on the interval, except possibly at c, then f c can be classified: c , f c is a relative minimum of f.
Fundamental Theorem of Calculus – this multi-part theorem is very important! Part 1: ∫. a b. f x dx = F b −. F a that is to say, that once the anti-derivative of the function is found (usually using the simple power rule for integrals), the integral on the closed interval [a,b] is equal to the
23 Σεπ 2024 · Download the AP Calculus AB Cheat Sheet (Free PDF) for unit-wise formulas, key concepts, and examples to boost your exam preparation and score high.
PART I: AP CALCULUS AB & BC BASICS 1 All About the AP Calculus AB & BC Tests..... 3 Frequently Asked Questions About the AP Calculus Tests .. 3 Summing It Up ..... 9 PART II: AP CALCULUS AB & BC REVIEW 2 Calculus Prerequisites.....13
4 Definition of Concavity: Let f be differentiable on an open interval I.The graph of f is concave upward on I if fc is increasing on the interval and concave downward on I if is decreasing on the interval. Test for Concavity: Let f be a function whose second derivative exists on an open interval I. 1) If fxcc 0! for all x in I, then the graph of f is concave upward in I.
