求下列函数的导数y’

y=【(x*x的开方)+3】*(e的x次方)注:米字号*就是乘号
2025-12-17 14:10:20
推荐回答(3个)
回答1:

根据乘法的求导法则
y'=[x^(3/2)+3]'*e^x+[x^(3/2)+3]*(e^x)'
=3/2*x^(1/2)*e^x+[x^(3/2)+3]*e^x
=[3/2*x^(1/2)+x^(3/2)+3]*e^x

回答2:

dy/dx=3/2*x^(1/2)exp{x}+【(x*x的开方)+3】*(e的x次方)

回答3:

y'=(3/2x^1/2)*(e的x次方)+【(x*x的开方)+3】*(e的x次方)