(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use logarithmic differentiation to find the derivative of the function.

2. Relevant equations

y = (sin(x))^(ln(x))

3. The attempt at a solution

I guessing the first step is raise both sides to "e", but so far I have only completed problems by taking the natural log of both sides.

(1) e^(y) = e^(sin(x))^(ln(x))

(2) d/dx (e^y) = d/dx (e^(sin(x))^(ln(x)))

(3) Can I start moving exponents in front of "e" to use the product rule, if so, do I bring "sin(x)^(ln(x)) down?, or am I on the completely wrong track?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Help on logarithmic differentiation problem

**Physics Forums | Science Articles, Homework Help, Discussion**