- #1
crm08
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Homework Statement
Use logarithmic differentiation to find the derivative of the function.
Homework Equations
y = (sin(x))^(ln(x))
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?