^{x}is, e

^{x}.

From these, we can use the logarithms and exponents rules to differentiate the generalized form of logarithmic or exponential functions, or just get familiar with these four derivatives:

(ln(x))' = 1/x

(e

^{x})' = e

^{x}

(a

^{x})' = a

^{x}ln(a)

(log

_{a}(x))’ = 1/x ln(a)

Here’s how it works, (click here):

Here’s another example (click here):

Until next time,

Michal