y=1/x平方 根号x 的值域怎么求?
y=1/(x^2) x^(1/2)
由于存在根号,所以x大于零
y=1/(x^2) (1/4)*x^(1/2)) (1/4)*x^(1/2)) (1/4)*x^(1/2)) (1/4)*x^(1/2)
>=5*五次根号下(1/(x^2)*(1/4)*x^(1/2))*(1/4)*x^(1/2))*(1/4)*x^(1/2))*(1/4)*x^(1/2))
=5*(2的负五分之八次方)
当1/(x^2)=(1/4)*x^(1/2)时取等号,即x=2的负五分之四次方时有最小值5*(2的负五分之八次方),最大是正无穷大
问:求函数值域已知x属于R则函数y=根号(x^2+x+1)-根号(x^2-x+1)的值域为?
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