MATH 4389 Study Guide - Final Guide: Intermediate Value Theorem, Mean Value Theorem, Riemann Sum

• School: University of Houston
• Department: Mathematics
• Course: MATH 4389
• Professor: Almus

Document Summary

Gathering info from the graph of f, or f" or f"". Understand how integrals are defined, know all basic rules of integration, u-sub. Intermediate value theorem, extreme value theorem, rolle"s theorem, mean value theorem. Rules of differentiation: y f a f a x a uv x f g x g x u v. 2 v u v uv u v uv f g. 0x f x (a root or a zero of the function. If f x , then next guess is: Example: given the graph of f x . Recall left endpoint, right end point, midpoint, trapezoid approaches, upper sum, lower sum. You need to know how to put them in order depending on whether the function increases/decreases. Note: for a positive function, definite integral gives the area under the curve. If the formula of a function is not given, but the graph is given, you can use the area under that function to find the definite integral.