Maybe a simple question but I can't find a good example of it on the internet. What is the derivative of:
$x^{2x}$
What is the simplest method of determining the derivative and what kind of rules are involved?
$\endgroup$2 Answers
$\begingroup$Hint: $x^{2x} = e^{2x \ln(x)}$. Use the chain rule.
$\endgroup$ $\begingroup$HINT: Consider $y=x^{2x}$. Take $\log$ both side. So, we get $\log y=2x \cdot \log x$. Then apply chain rule..
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