Antiderivative Study guides, Class notes & Summaries

These notes are in a pdf format. - colour coded - step-by-step examples for each topic The notes cover the topic: Antiderivatives, Mathematical Induction, Binomial theorem, Definite integral & Riemann sums

This document contains a summary of Calculus lectures from week 1 to week 8, during the 1st year at TU/e.

graph ≥, ≤ solid line graph >, < DOTTED line every, each, per (writing equations) rate/ set y value equal to (multiply this value by the x variable) When writing an equation or working ANY inequality problem what does it help to do first? write out what's happening What should you double check for EVERY time writing problem down wrong (NEGATIVE SIGNS), uncarried negative signs, unflipped inequality signs, undotted lines, incorrect multiplication, fully...

The slope of a secant line represents what kind of change? - ANSWER-Average roc The slope of a tangent line represents what kind of change? - ANSWER-Instantaneous roc What kind of change does an integral represent? - ANSWER-Total change Explain what a derivative is graphically. - ANSWER-Slope of tangent line Explain what a derivative is numerically. - ANSWER-Difference quotient from a table Explain what a derivative is analytically. - ANSWER-lim of (f(x+h)-f(x))/h as h->0 3 ...

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...

Integral of cosx - ANSWER-sinx+c Integral of sin x - ANSWER--cosx+c Integral of sec^2x - ANSWER-tanx+c Integral of secxtanx - ANSWER-secx+c Integral of csc^2x - ANSWER--cotx+c Integral of cscxcotx - ANSWER--cscx+c If a trapezoidal sum overapproximates ∫0 to 4 f(x)dx, and a right Riemann sum underapproximates ∫0 to 4 f(x)dx, which of the following could be the graph of y=f(x)? - ANSWER-A- The one with a y intercept at three that is concave up and decreasing Let f be the f...

ENGLISH SUMMARY FOR BRIDGING PROGRAM MBA at KUL Prof.: Verhaest Dieter Textbook: Essential Mathematics for Economic Analysis (5th edition), Pearson, 2017 (4610); This document contains a summary of the course content + own class notes + exercises with solutions. Course content: 1. Definite and indefinite integrals of a function of one real variable (antiderivative and indefinite integral+ integration methods+ definite integral and area) __ 2. Differential equations of the f...

contains information about antiderivatives . this information includes formulas ,questions and step by step solutiions

MATHEMATICS 1B FINAL EXAM PRACTICE PROBLEMS DISCLAIMER: The practice problems below are not intended to be a complete review of the material covered this quarter. They are intended only to give you practice in applying SOME of the concepts you learned. For a complete review (strongly recommended), you should review old exams/quizzes/HW and try new problems from each section covered in class. You are also encouraged to review lecture handouts (e.g., Survival Guide material). Finally, some pr...

The definitions and examples of the antiderivative