f(x)=xa^x+ln[x+(x^2+a^2)^(1/2)] ,求f'(0)=

问题描述:

f(x)=xa^x+ln[x+(x^2+a^2)^(1/2)] ,求f'(0)=

f'(x)=a^x+xe^xln(a)+[1+x(x^2+a^2)^(-1/2)]/[x+(x^2+a^2)^(1/2)]
f'(0)=1+0+1/a=1+1/a