Читать книгу Calculus: 1001 Practice Problems For Dummies (+ Free Online Practice) - Patrick Jones - Страница 18

This chapter presents a variety of applications and word problems, and you may have to be a bit creative when setting up some of the problems. Here are some tips:

 Think about what your variables represent in the optimization and related-rates problems; if you can’t explain what they represent, start over!

 You’ll have to produce equations in the related-rates and optimization problems. Getting started is often the most difficult part, so just dive in and try different things.

 Remember that linearization is just a fancy way of saying “tangent line.”

 Although things should be set up nicely in most of the problems, note that Newton’s method doesn’t always work; its success depends on your starting value.