作业帮f(x)=(4x^2-7)/(2-x) x属于[0,1]求f(x)单调性和值遇
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f(x)=(4x^2-7)/(2-x) x属于[0,1]求f(x)单调性和值遇
f(x)=(4x^2-7)/(2-x) x属于[0,1]求f(x)单调性和值遇
f(x)=(4x^2-7)/(2-x) x属于[0,1]求f(x)单调性和值遇
f'(x)=[(4x²-7)'(2-x)-(4x²-7)(2-x)']/(2-x)²
=[8x(2-x)+(4x²-7)]/(2-x)²
=(-4x²+16x-7)/(2-x)²
>0
-4x²+16x-7>0
4x²-16x+7<0
1/2
0
f(1/2)=-4
f(0)=-7/2,f(1)=-3
所以最大是-3
所以值域[-4,-3]
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