Question

can anyone explain me derivatives and limits??????

Answer 1

you will have to read your book. Or do some searching online. It's almost impossible to explain here

Answer 2

Summary: derivative dy/dx is the ratio of the small local change in y to a small change in x. It is the slope of y vs. x.

Limits are what a function tends toward as its argument is varied in a specified way. The limit of (1-x) is 1 as x goes to zero, for example. Mathematicians do this more elegantly than I.

Answer 3

The following problems require the use of the limit definition of a derivative, which is given by
tex2html_wrap_inline338 .

They range in difficulty from easy to somewhat challenging. If you are going to try these problems before looking at the solutions, you can avoid common mistakes by making proper use of functional notation and careful use of basic algebra. Keep in mind that the goal (in most cases) of these types of problems is to be able to divide out the tex2html_wrap_inline29 term so that the indeterminant form tex2html_wrap_inline31 of the expression can be circumvented and the limit can be calculated.