AP Calculus Help?

Test Preparation
1

<p>Hi,
I know this isn't a message board to get answers but I'm in AP Calculus and a little confused on derivatives of logarithmic functions. I'll post the problem that I'm struggling with below and you don't need to solve it but if you can tell me HOW to solve it, that would be really nice.</p>

<p>The problem I'm having trouble differentiating is;the 5th root of ln x. I think I could use the exponential law of logarithms to change it to 1/5(ln x)^(-4/5).</p>

<p>So, the answer I end up with is 1/5((ln x)^(4/5)) but the back of my textbook has a different answer and I don't know how they got it. Thanks in advance:)</p>

2

<p>I think I might have figured it out:):):) I used the chain rule on the bottom and ended up with 1/(5x)(ln x^(4/5))</p>

3

<p>Did you multiply that answer by the derivative of ln x, which is 1/x I think?</p>

<p>Edit: lol, I guess I was a bit late.</p>

4

<p>Thanks for the help. You were right, I had forgotten to multiply by the derivative of ln x. The problem seemed really simple once I realized what I had forgotten.</p>