# Find the 46th derivative

1. Oct 20, 2015

### Kingyou123

1. The problem statement, all variables and given/known data
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.

2. Relevant equations
Quotient rule

3. The attempt at a solution
I have tried trying to find a pattern, I'm on the third derivative and it seems really complicated.

2. Oct 20, 2015

### Staff: Mentor

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.

3. Oct 20, 2015

### Kingyou123

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

4. Oct 20, 2015

### LCKurtz

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

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