Question

find the derivative of y with respect to x:

Answer 1

\[y=\ln \sqrt{(x+5)^{5}}/(x+2)^{20}\]

Answer 2

the numerator should be (x+1)^5....sorry!

Answer 3

Is the natural logarithm applied to the whole function or just the numerator?

Answer 4

the whole function.

Answer 5

Alright, well as you know, the derivative of \[\ln f(x)\] is\[f'(x)/f(x)\] Therefore, you must differentiate \[\left( x+5)^5/((x+2)^{20}) \right)\]
and then divide its derivative by the original function.