求y=x√4-x^2(0
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求y=x√4-x^2(0求y=x√4-x^2(0求y=x√4-x^2(0当x=0时有最大值y=2,而0配方y=-(x^2-x/4+1/4)+1/4=-(x-1/2)^2+4抛物线开口向下,顶点坐标是(
求y=x√4-x^2(0
求y=x√4-x^2(0
求y=x√4-x^2(0
当x=0时有最大值y=2,而0
配方
y = -(x^2 - x/4 + 1/4) + 1/4 = -(x- 1/2)^2 + 4
抛物线开口向下,顶点坐标是(1/2, 4)
当x = 1/2时,函数取得最大值,此时x = 1/2,最大的函数值是4
y= 2x-x² = -1+2x-x²+1 = -(x-1)²+1
0
y=1
根据 ab≤1/2 (a^2 +b^2)
得 y=x√(4-x^2) ≤1/2 (x^2 + 4 -x ^2)=2
y的最大值=2
y取得最大值,即 x√(4-x^2) = 4
解得 x=√2
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