Quandaries
and Queries |
|||
hello my name is Calebius I am a year 12 Student How do you differentiate y=(x)^{(xx)}? |
|||
Hi Calebius, Suppose that y = x^{g(x)} and you want to differentiate y with respect to x. First take the natural log of both sides and use the properties of the log fuctions to get
Now differentiate both sides
and hence
In your problem g(x) = x^{x} so you are going to have to use this method again to find g'(x). Penny |