1.y=(a/b)^x乘以(b/x)^a乘以(x/a)^b,求导.

网上有这一方面的软件
下载一个方便使用

1、
y=(a/b)^x(b/x)^a(x/a)^b
=(b^a/a^b)[(a/b)^xx^(b-a)]
=(b^a/a^b)(a/b)^x[ln(a/b)x^(b-a)+(b-a)x^(b-a-1)]
2、
y'=0
2ax+b=0
x=-b/2a
y=b^2/4a-2b^2/4a+c
=-(b^2-4ac)/4a

1,
y = (a/b)^x(b/x)^a(x/a)^b = [(a/b)^x][b^a]/[a^b][x^(b-a)]
= [b^a]/[a^b][x^(b-a)]e^[xln(a/b)]
y'= [b^a]/[a^b](b-a)[x^(b-a-1)]e^[xln(a/b)] + [b^a]/[a^b][x^(b-a)]e^[xln(a/b)][ln(a/b)]
...