Solution Found!
Suppose that the functions ƒ and g are defined throughout
Chapter 3, Problem 21AAE(choose chapter or problem)
Problem 21AAE
Suppose that the functions ƒ and g are defined throughout an open interval containing the point x0 that ƒ is differentiable at that and that g is continuous at x0. Show that the product ƒg is differentiable at x0. This process shows, for example, that although is not differentiable at x = 0, the product is differentiable at x = 0.
Questions & Answers
QUESTION:
Problem 21AAE
Suppose that the functions ƒ and g are defined throughout an open interval containing the point x0 that ƒ is differentiable at that and that g is continuous at x0. Show that the product ƒg is differentiable at x0. This process shows, for example, that although is not differentiable at x = 0, the product is differentiable at x = 0.
ANSWER:
Solution
Step 1 of 3
In this problem, we have to show that the product of is differentiable at .