x^3+y^3=4xy在点(2,2)处导数等于
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x^3+y^3=4xy在点(2,2)处导数等于
x^3+y^3=4xy在点(2,2)处导数等于
x^3+y^3=4xy在点(2,2)处导数等于
两边对x求导得
3x^2 +3y^2 y'=4y +4x y'
∴(3x^2-4x) y'=4y-3x^2
y‘=(4y-3x^2)/(3x^2-4x)
当x=2,y=2时
y'=-1
对x求导
3x²+3y²*y'=4y+4x*y'
所以
y'=(3x²-4y)/(4x-3y²)
x=y=2
所以
y'=-1
x^3+y^3=4xy在点(2,2)处导数等于
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