using the limit definition of the derivative, you might see these derivatives follow a simple pattern: the power rule. If we were to take the derivative of a large number of functions like x, x², x³, etc. Since we’re talking about arbitrary functions, we have to use the definition of the derivative.Īnd we’re done with that. Then, we’ll take the derivative of z with respect to x. First, we’ll define a function z(x) = f(x)g(x). More specifically, we’re looking for some expression of the two functions or their derivatives. We want to prove the product rule from the definition of the derivative. For this reason, we will prove the product rule. If we know how to take the derivative of x, x³, and the product of two functions, we can take the derivative of x⁴.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |