Calculating the 46th Derivative of a Quotient Function

[Kingyou123]

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.

 

[Mark44]

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.

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]

So I get x^45+0, would I just take the 46 derivative of this(which would be 0)?

 

[LCKurtz]

Check your arithmetic. That quotient doesn't equal $x^{45}$.