Question

Please help!
Find the derivative!

Answer 1

\[y=(1+\frac{ 2 }{ x })^{2x}\]

Answer 2

Hmm so we have a variable in the exponent, which means we won't be able to use the power rule.
We'll need to use logarithmic differentiation, are you familiar with that? :)

Answer 3

I don't completely understand it, but i have seen it done!

Answer 4

The reason we did this, is because of one of our rules of logarithms will allow us to get that variable OUT of the exponent spot!
\[\huge \log(a^b)=b*\log(a)\]
Do you see how we'll be able to use this rule? :D