作业帮f(x)=x²(sinx+4)+2x+4/x²+1在[-a,a](a>0)上,最大值为M,最小值为m,求M+m
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上,最大值为M,最小值为m,求M+m](/uploads/image/z/5349810-66-0.jpg?t=f%28x%29%3Dx%26%23178%3B%28sinx%2B4%29%2B2x%2B4%2Fx%26%23178%3B%2B1%E5%9C%A8%5B-a%2Ca%5D%28a%3E0%29%E4%B8%8A%2C%E6%9C%80%E5%A4%A7%E5%80%BC%E4%B8%BAM%2C%E6%9C%80%E5%B0%8F%E5%80%BC%E4%B8%BAm%2C%E6%B1%82M%2Bm)
f(x)=x²(sinx+4)+2x+4/x²+1在[-a,a](a>0)上,最大值为M,最小值为m,求M+m
f(x)=x²(sinx+4)+2x+4/x²+1在[-a,a](a>0)上,最大值为M,最小值为m,求M+m
f(x)=x²(sinx+4)+2x+4/x²+1在[-a,a](a>0)上,最大值为M,最小值为m,求M+m
y=x^2*sin(x) +2x +4x^2 +4/x^2 +1
y1=x^2sin(x) +2x
y2=4x^2+ 4/x^2
讨论a的取值.
M=y1最大 +y2最大
m=y1最小 + y2最小