>> syms x; y=atan((x^2-1)^(1/2))-log(x)/((x^2-1)^(1/2))
y =
atan((x^2 - 1)^(1/2)) - log(x)/(x^2 - 1)^(1/2)
>> diff(y)
ans =
(x*log(x))/(x^2 - 1)^(3/2)
可見答案是對的.
【MATLAB里log(x)表示ln(x),我們習慣的lg(x)用log10(x)表示,以其它數為底的對數用“l(fā)og(x)”來表示】