The derivative of log and exp functions

[ShayanJ]

Hi
I want to know is it possible to differentiate exp and log functions where bases are functions not constants?How?
Thanks

 

[arildno]

Remember that:

1. $$a^{b}=e^{b\ln(a)}$$
and

2.$$log_{a}(b)=\frac{\ln(b)}{\ln(a)}$$

Use these rules in the appropriate manner in order to differentiate the expressions you asked about!