作业帮f(x)=e的x次方乘以（3-x²）,x∈[2,5]求函数的最值
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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