Derivative of x^(2x)

Question

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?

score 6 · Accepted Answer · answered Oct 28 '14 at 20:48

6

Hint: $x^{2x} = e^{2x \ln(x)}$. Use the chain rule.

answered Oct 28 '14 at 20:48

Tom

score 0 · Answer 2 · answered Oct 28 '14 at 20:58

0

HINT: Consider $y=x^{2x}$. Take $\log$ both side. So, we get $\log y=2x \cdot \log x$. Then apply chain rule..

answered Oct 28 '14 at 20:58

Argha

2 Answers2