Rolles theorem Study guides, Class notes & Summaries

Vertical Asymptote - ANSWER-Set Denominator equal to zero Horizontal asymptote - ANSWER-set numerator equal to zero Rolles theorem states there is... - ANSWER-a tangent line at some point on a closed interval [a,b] if the following hold true a) continuous b) differentiable c) f(a)=f(b) Integration is a... - ANSWER-continuous addition process Intermediate Value Theorem: Suppose f is a function continuous at every point on the interval [a,b]: - ANSWER-a) f will take on every value b...

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 A...

Calculus 1 Formula Sheet-Questions and Answers Graded A+ d/dx k - ANSWER-0 d/dx (mx+b) - ANSWER-m d/dx (x^n) - ANSWER-nx^n-1 d/dx [f(x)/g(x)] - ANSWER-g(x)f'(x)-f(x)g'(x)/g(x)^2 d/dx [f(x)+g(x)] (Sum Rule) - ANSWER-f'(x)+g'(x) d/dx (f(x)-g(x)) - ANSWER-d/dx f(x) - d/dx g(x) d/dx [f(x)g(x)] - ANSWER-f'(x)g(x)+f(x)g'(x) d/dx a^x - ANSWER-a^x ln(a) A function is not differentiable if - ANSWER-- discontinuity - corner (limit from left ≠ limit from right) - verti...

Notes Covering 4.2 of Single Variable Calculus: Early Transcendentals by Stewart/Clegg/Watson. These notes specifically cover Rolle's Theorem, and the Mean Value Theorem

These notes describe and explain with words what the Rolle's Theorem and the Mean Value Theorem are. There are also a couple examples for each one.

extreme value theorem - Correct Answer if f(x) is continuous on [a,b] then f(x) contains an absolute max and absolute min on [a,b] Fermat's theorem - Correct Answer if f(x) is differentiable on (a,b) and has a local max or min at c within (a,b), then f'(c) = 0 critical points - Correct Answer for f(x), point a at which either f'(a) = 0 or f is not differentiable at a (closed intervals include endpoints) mean value theorem - Correct Answer if f(x) is continuous on [a,b] and differenti...

Hand-Written, MAM1000W summary for Semester 1. What you need to know for Semester 1 tests and exams. Hidden test questions, and all you need to know information..........Less is More............. What it contains: Functions: odd, even, translations, compositions...etc; Sets; Absolute Value; Curve Sketching; Exponents; Logs; e; Trigonometry: Graphs,Identities, Functions, Inverse Functions; Equation of Trig Functions; Limits; Algebraic Manipulation of Limits; Squeeze Theorem; C...

Summary for Calculus Redux and Linear initial value problems in Rn

This PDF file consists of four theorems and procedure for solving maxima and minima questions.