f(x)=e的x次方乘以(3-x²),x∈[2,5]求函数的最值
来源:学生作业帮助网 编辑:作业帮 时间:2024/09/06 14:36:57
![f(x)=e的x次方乘以(3-x²),x∈[2,5]求函数的最值](/uploads/image/z/2451676-4-6.jpg?t=f%28x%29%3De%E7%9A%84x%E6%AC%A1%E6%96%B9%E4%B9%98%E4%BB%A5%EF%BC%883-x%26%23178%3B%EF%BC%89%2Cx%E2%88%88%5B2%2C5%5D%E6%B1%82%E5%87%BD%E6%95%B0%E7%9A%84%E6%9C%80%E5%80%BC)
x)KӨдM}>ٚϦ|sƓK0֭PS64~SQGGi쳍MO>ٜ
{lI5Qv6TuPKfj\XAF9[ j55*^Vlg > Y@c<;_ }՝~
f(x)=e的x次方乘以(3-x²),x∈[2,5]求函数的最值
f(x)=e的x次方乘以(3-x²),x∈[2,5]
求函数的最值
f(x)=e的x次方乘以(3-x²),x∈[2,5]求函数的最值
f(x)=(3-x^2)e^x
=3e^x-x^2e^x
f'(x)=3e^x-2xe^x-x^2e^x=e^x(3-2x-x^2)
令f'(x)>0
即3-2x-x^2>0
x^2+2x-3