- #1
TheBestMilk
- 13
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Homework Statement
I'm working a problem, and I've come to taking the derivative with respect to ln(x):
[itex]\frac{\partial ln(x^{c})}{\partial ln(p_{x})}[/itex]
Homework Equations
ln(x[itex]^{c}[/itex])=ln(p[itex]^{2}_{y}[/itex]I)+ln(p[itex]_{x}[/itex]+p[itex]_{y}[/itex])-ln(p[itex]_{x}[/itex])-ln(p[itex]_{y}[/itex])
The Attempt at a Solution
I've worked it out, but am not sure how the ln(p[itex]_{x}[/itex]+p[itex]_{y}[/itex]) term would derive with respect to ln(p[itex]_{x}[/itex]). Any help would be great. Thanks!
[itex]\frac{\partial ln(x^{c})}{\partial ln(p_{x})}[/itex] = [itex]\frac{\partial}{\partial ln(p_{x})}[/itex](ln(p[itex]_{x}[/itex]+p[itex]_{y}[/itex])) - 1