函数f(x)=e^x+a⼀(e^x)是偶函数,若曲线y=f(x)的一条切线的斜率是3⼀2,则切点的横坐标为?

2024-11-25 12:52:53
推荐回答(2个)
回答1:

df/dx = -a*e^(-x)+e^x = 0 when x =3/2
then a = e^3
f(x)=e^x+e^3/(e^x)
f(3/2)=e^(3/2)+e^3/(e^(3/2))=2e^(3/2)
横坐标 2e^(3/2)

回答2:

df/dx = -a*e^(-x)+e^x = 0 when x =3/2
then a = e^3
f(x)=e^x+e^3/(e^x)
f(3/2)=e^(3/2)+e^3/(e^(3/2))=2e^(3/2)
横坐标 2e^(3/2) 不知道对不随