MATH 115 Chapter Notes - Chapter 4: Inflection, Antiderivative, Implicit Function
Document Summary
Chapter 4 applications of differentiation: absolute max/min: 4. 1 maximum and minimum values: local max/min, critical number, finding the absolute max/min: 4. 3 how derivatives affect the shape of a graph: the second derivative: 4. 4 indeterminate forms and l"hospital"s rule: note 1: l"hospital"s rule says that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives, provided that the given conditions are satisfied. It is especially important to verify the conditions regarding the limits of f and g before using l"hospital"s rule. 4. 5 summary of curve sketching: guidelines for sketching a curve, symmetry. Slant asymptote: intervals of increase or decrease, local maximum and minimum values, concavity and points of inflection, sketch the curve, slant asymptotes, some curves have asymptotes that are oblique, that is, neither horizontal nor vertical. If then the line y=mx+b is called a slant asymptote.
