The discussion revolves around calculating the 46th derivative of the function f(x) = (x^46 + x^45 + 2)/(x + 1) at x = 3. The problem involves the application of the quotient rule and the complexity of higher-order derivatives.
The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the method of division prior to differentiation, and there is an active examination of the arithmetic involved in the function's simplification.
There is a focus on the complexity of calculating high-order derivatives and the potential for misinterpretation of the function's form. Participants are also navigating the implications of using the quotient rule versus simplifying the expression first.
Have you thought about doing the division before taking the derivative? I don't think that starting off with the quotient rule is the way to go.Kingyou123 said:Homework Statement
If f(x) =(x^46 + x^45 + 2)/(x + 1)
, calculate f(46)(3), the forty-sixth derivative of f(x) at x = 3. Express
your answer using factorial notation: n! = n (n 1) (n 2) 3 2 1.
Homework Equations
Quotient rule
The Attempt at a Solution
I have tried trying to find a pattern, I'm on the third derivative and it seems really complicated.