Derivative using Logarithmic Differentiation

[marc_2094]

Homework Statement

http://www.flickr.com/photos/50468243@N02/8577233960/

Homework Equations

The Attempt at a Solution

In the pic, the noticeable difference between my answer and Wolframalpha's is the tan[log(sin x+1) to base 5]. If I do logarithmic differentiation, what I get is my Answer (the one in the pic) but when I do product rule (I get the same answer with Wolframalpha). Please help. I'm confused. THanks! :)

 

[vela]

You're not doing the logarithmic differentiation correctly.

 

[marc_2094]

Can you please help me find out what I did wrong?

 

[eumyang]

Can you please help me find out what I did wrong?

In order to do so, you will need to write out here all the steps you took to get from the problem to your answer. It would be better if you typed the steps out using LaTeX.

 

[vela]

I'll admit I didn't check your answers. It could be you're doing the product rule incorrectly. (I simply sided with Wolfram Alpha, but you may have messed up using it as well.) In any case, we can't tell where you're going wrong if all you do is post your final results. Doing so is like saying, "My car won't start. What's wrong?"