MATH 154 Lecture Notes - Lecture 17: Second Derivative, Maxima And Minima, Minimax

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 154
• Professor: Yusuf Tuncer

Document Summary

Math 154 d100-lecture 17-sketching the graph of a function. A function has a local minimum if the value of f (or y) at x0 is smaller than the value of f (or y) at nearby points. (low curves on a graph) A function has a local maximum if the value of f (or y) at x0 is larger than the value of f (or y) at nearby points. (high curves on a graph) http://mathonline. wikidot. com/local-maxima-and-minima-and-absolute-maxima-and-minima. **at each local minimum and maximum on the graph above, the slope of the tangent lines changes from either negative to positive (local minimum) or from positive to negative (local maximum). Then, simplify/ find the roots of the derivative to determine the critical points: f"(x)=x(x2-6x+8) x(x-4)(x-2) F" (0) + (0) + (0) + (0) - (0) + **(0) is meant to be on the line that it is beside.