The problem involves finding the derivative of the function f(x) = ((x^2+2)^2)/(x+2)^(1/2) using the chain rule. The original poster expresses confusion regarding the solution provided in their textbook.
Some participants have offered guidance on the appropriate rules to apply, suggesting a re-evaluation of the original approach. There is an acknowledgment of differing opinions on the best method to use, indicating a productive exploration of the problem.
There is a note regarding the appropriateness of the forum section for questions on derivatives, suggesting that this topic may be better suited for a different category within the forum.
It looks like you completely missed the fact that this is a quotient (use the quotient rule first). As part of using the quotient rule, you'll need the chain rule.Mathysics said:Homework Statement
f(x) = ((x^2+2)^2)/(x+2)^1/2
Use the chain rule to find the derivative
Homework Equations
None
The Attempt at a Solution
((x^2+2)^2)(x+2)^-1/2
PS: Answer in the book is 3x((x^2+2)^1/2)
I have no idea how they get it there, would like some help, thx!
Mark44 said:It looks like you completely missed the fact that this is a quotient (use the quotient rule first). As part of using the quotient rule, you'll need the chain rule.