求y=(4x∧2-1)÷(x∧2-1)的n阶导数

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 05:56:07

求y=(4x∧2-1)÷(x∧2-1)的n阶导数
求y=(4x∧2-1)÷(x∧2-1)的n阶导数

求y=(4x∧2-1)÷(x∧2-1)的n阶导数
y=(4x²-1)÷(x²-1)=4+[3/(x²-1)]=4+(3/2)*[1/(x-1)]-(3/2)*[1/(x+1)];
y'=-(3/2)/(x-1)²+(3/2)/(x+1)²;
y"=(3/2)(1*2)/(x-1)³-(3/2)(1*2)/(x+1)³;
……
y'(n)=(-1)^n(3/2)*n!/(x-1)^(n+1)-(-1)^n(3/2)*n!/(x+1)^(n+1)
=(3/2)*{n!/[(-x-1)^(n+1)]-n!/[(1-x)^(n+1)]};

已知:【(x²+y²)-(x-y)²+2y(x-y)】÷4y=,求4x/(4²-y²)-1/(2x+y)的值已知:【(x²+y²)-(x-y)²+2y(x-y)】÷4y=1,求4x/(4²-y²)-1/(2x+y)的值 已知2x+y=4,求代数式[(x+y)²-(x-y)²-2y(x-1/2y)]÷4y的值 (还没学因式分解) 已知x²-4x+4+(y+x的绝对值)=0,求x²y-x²分之2x+x²÷y²-2y+1分之x²+4x+4另外还有一题:已知x-3y=0,求x²-2xy+y²分之2x+y×(x-y)的值. 已知4y^2+4y+1+|x-1|=0 求[(x-2y)^2-(2x+y)(2x-y)+(3x-y)(x+y)]÷(2y)的值 已知x-y=1,求[(x+2y)²+(2x+y)(x-4y)-3(x+y)(x-y)]÷y的值 已知[(x²+y²)-(x-y)²+2y(x-y)]÷4y=1,求4x÷(4x²-y²)-1÷(2x+y)的值 已知:【(x^2+y^2)-(x-y)^2+2y(x-y)】÷4y=1,求4x/(4x^2-y^2)-1/(2x+y)的值 已知:【(x^2+y^2)-(x-y)^2+2y(x-y)】÷4y=1,求4x/(4x^2-y^2)-1/(2x+y)的值如题 已知实数x、y满足|2x-y+1|+3根号3x-2y+4=0,求代数式[(x-y)/(x-2y)]/(x的平方-2y)/[(x的平方-y的平方)/x的已知实数x、y满足|2x-y+1|+3根号3x-2y+4=0,求代数式[(x-y)/(x-2y)]/(x的平方-2y)/[(x的平方-y的平方)/(x的 [(x²+y²)-(x-y)²+2y(x-y)]÷4y=1,求4x/4x²-y²-1/2x+y 的值 已知[(x²+y²)-(x-y)²+2y(x-y)]÷4y=1,求(4x/4x²-y²)-(1/2x+y)的值/是分数线 求y=x^-4x+3/2x^-x-1的值域y=(x^2-4x+3)/(2x^2-x-1) 已知实数x,y满足方程x^2+y^2-4x+1=0,(1)求,Y/x的最大值和最小值 (2)求y-x 求函数f(x,y)=x∧2 + (y-1)∧2的极值 若|x+y-1|+(x-y-2)²=0,求代数式(x+2y)(x-2y)-(2x-y)(-y-2x)的值. 求函数y=(x^2+4x+1)/(x^2+x+1)的值域. 已知x,y是实数,且(x+y-1)²与根号(2x-y+4)互为相反数,求实数y∧x的倒数大相反数. 已知[(x2+y2)-(x-y)2+2y(x-y)]÷4y=1,求4x/4x2-1/2x+y的值,要详细点的过程题目有点错了,是[(x的平方+y的平方)-(x-y)的平方+2y(x-y)]÷4y=1,求4x/4x的平方-1/2x+y的值还是用中文吧,求[(4x的平方-y的平方)分