Question

Derivatives: Can you tell me what I did wrong? Thanks.

My questions are in the comments.
*Using logarithmic differentiation

Answer 1

Find the derivative of:
\[\frac{ x^5cosx }{ e^(-x^2+2x) }\]

Answer 2

I keep getting the answer \[(\frac{ 5 }{ x }-\frac{ sinx }{ cosx }-2+x^2)(\frac{ x^5cosx }{ e^(-x^2+2x) })\]

Answer 3

But this is my teacher's answer
\[(\frac{ 5 }{ x }-\frac{ sinx }{ cosx }+2x-2)(\frac{ x^5cosx }{ e^(-x^2+2x)})\]

Answer 4

your teachers answer doesn't make sense quite either

Answer 5

(-x^2+2x) is an exponent

Answer 6

if that is the original the first one you posted you have a quotient rule along with a product rule on the top and a composition rule on the bottom