AP Calculus AB notes

AP calculus notes from a straight-A student who needed everything dumbed down to him and here are the dumbed-down notes which obviously helped me, but also really helped my friends and saved them. I took notes on EVERYTHING in the course, what for sure will be on the AP calc test as subjects, topics, tricks n tips, and ESPECIALLY ON what to do/list/say specifically in scenarios on the test. There are examples of problems of difficulty on these problems/topics to best help you. Use this For AP calc, or college calc class (curriculums are the same and/or identical) Use Ctr F and type a topic to find out what topic you need, which will be in the notes and listed down below or in the tags (for the majority of topics, not every single one is listed but is still in the notes) tangent lines secant linees Instantaneous rate of change average rate of change limits side limits infinity limits rational function limits indeterminate form ineterminate form 00 indeterminate form infinityinfinity conjugate trick special trig identities limit laws Continuity discontinuity continuity laws Squeeze Theorem IVT Intermediate Value Theorem derivative Derivative functions power rule Leibniz Notation PVA Derivative of exponets Quotient Rule position velocity acceleration rate of change canidates test Local Extrema minimum Maximum derivative of trig functions Chain Rule Inverses derivative of inverses derivative of inverse trig functions derivative of natural log derivative of variable exponets implicit differentiation implicit differentiation at a point linear approximation LHopkins rule Related Rates increasing decreasing critical points Fermats theorem First Derivative Test Extreme value theorem candidates test Rolles Theorem mean value theorem concavity inflection points second derivative test sketching functions optimization integrals over estimate under estimate integration notation Riemann Sum Summation Midpoint sums trapazoid sum midpoint sum Left Riemann Sum Right Riemann Sum antiderivative areas solving for c solving for initial value problems initial value Fundamental Theorem Of Calculus Indefinite Integrals Properties of Integrals reverse chain rule Displacement Total distance traveled U Substitution double U substition U substitution methods u substitution with trig functions long division areas between functions average value over an interval Finding volumes with cross sections volumes crosssections accumulating cross sections rotating regions around x axis rotating regions around y axis rotating regions around an axis differential equations slope fields exponential functions