f(x)=a^x、f'(x)=a^xlna(a>； 0 and a are not equal to 1, x >；; 0)。

f(x)=e^x、f'(x)=e^x。

f(x)=logaX、f '(x)= 1/xlna(a & gt； 0 and a are not equal to 1, x >；; 0)。

f(x)=lnx、f '(x)= 1/x(x & gt； 0)。

f(x)=tanx、f'(x)= 1/cos^2x。

f(x)=cotx、f'(x)=- 1/sin^2x。

Extended content:

Distribution function is an important function in probability statistics. It is through it that random variables can be studied by mathematical analysis. Distribution function is the most important probability feature of random variables, which can completely describe the statistical law of random variables and determine all other probability features of random variables.