MATH 140 Lecture Notes - Lecture 11: Difference Quotient, Fax, Hyperbola

• School: McGill University
• Department: Mathematics & Statistics (Sci)
• Course: MATH 140
• Professor: Ewa Duma

Document Summary

Amounts to saying that the tangent line is the limiting position of the secant line approaches. Definition the tangent line to the curve the line through with slope. P at the point y f x . P a, f a is m lim x l a f x f a x a provided that this limit exists. Derivatives and rates of change: (see figure 3 where the case h 0. De nition: the tangent line to the curve y = f(x) a the point p(a, f(a)) is the line through that. , however, would be to the left of. In our rst example we con rm the guess we made in example 1 in section 2. 1. sion for the slope of the tangent line in de nition 1 becomes. ) and so the expres- is illustrated and is to the right of.