MATH 120 Midterm: MATH 120 Chico State Exam M7AEx2Topics

• School: Chico State University
• Department: Mathematics
• Course: MATH 120
• Professor: All

Document Summary

Limits: definition: e. g. def of lim x b g(x) = p, numerical -- e. g. -use the calculator to find lim x 0 x ln x, graphical, analytic lim x 2 x 2. Derivatives and differentials: definitions: state the definition of d tan s ds, calculation of: e. g. find the derivatives of x ln x , sin x ex. + 2) chain rule, product rule, quotient rule implicit differentiation: find dy dx at (2,1) if x 2y y = y 2. Applications of derivatives: tangent line approximations: e. g. find the tangent line approximation of 10 . find the equation of the tangent line to x2 at x = 2. If f"(1) = 2 and f(1) =-4, estimate using differentials f(1. 2: newton"s method: demonstate the newton method graphically. **be sure to know trig-type related rate problems see recent quizzes: graphing: find intervals of increasing, decreasing, concave up and down, vertical and horizontal asymptotes, inflection points for y = x x2.