sin+x-y+的导数

皮娟勤18381+sin(x+y)=e - xy导数,要求有详解做法 -
孟怪娟17318838256 ______[答案] 两边同事求导 对1+sin(x+y)=e^(xy)求导得 cos(x+y)(1+y')=e^(xy)*(y+xy'), ∴cos(x+y)-ye^(xy)=[xe^(xy)-cos(x+y)]y', ∴y'=[cos(x+y)-ye^(xy)]/[xe^(xy)-cos(x+y)].

皮娟勤1838求函数xcosy=sin(x+y)的导数 -
孟怪娟17318838256 ______[答案] 对x求导 1*cosy+x*(-siny)*y'=cos(x+y)*(x+y)' cosy-xsiny*y'=cos(x+y)(1+y')=cos(x+y)+cos(x+y)*y' 所以y'=[cosx-cos(x+y)]/[cos(x+y)+xsiny]

皮娟勤1838Xy - sin(x+y)=1 求Y的导数 -
孟怪娟17318838256 ______[答案] 对x求导(xy)'=x'*y+x*y'=y+x*y'[sin(x+y)]'=cos(x+y)*(x+y)'=(1+y')cos(x+y)=cos(x+y)+cos(x+y)*y'1'=0所以y+x*y'-cos(x+y)-cos(x+y)*y'=0y'=[y-cos(x+y)]/[cos(x+y)-x]

皮娟勤1838函数y=sin( - x)的导数为 -
孟怪娟17318838256 ______[选项] A. -cos(+x) B. cos(-x) C. -sin(-x) D. -sin(x+)

皮娟勤18381.求函数x cos y =sin(x+y) 的导数 -
孟怪娟17318838256 ______[答案] 对x求导 1*cosy+x*(-siny)*y'=cos(x+y)*(x+y)' cosy-xsiny*y'=cos(x+y)(1+y')=cos(x+y)+cos(x+y)*y' 所以y'=[cosx-cos(x+y)]/[cos(x+y)+xsiny]

皮娟勤1838方程y=sin(x+y)所的隐函数的导数 -
孟怪娟17318838256 ______[答案] 两边对x求导: y'=cos(X+y)*(1+y')=cos(x+y)+y'cos(x+y) {1-cos(x+y)}y'=cos(x+y) y'=cos(x+y)/{1-cos(x+y)}

皮娟勤1838求y=x+1/2倍的sin y 的导数 -
孟怪娟17318838256 ______[答案] 因为y=x+1/2*sin y 这是隐函数求导,上式对x求导, 得 y'=1+1/2*cosy *y' y'(1-1/2*cosy)=1 解得 y'=1/(1-1/2*cosy)

皮娟勤1838 求下列各函数的导数:(1)y= ;(2)y=(x+1)(x+2)(x+3);(3)y= - sin (1 - 2cos 2 );(4)y= + . -
孟怪娟17318838256 ______[答案] (1)-x+3x2-2x-3sinx+x-2cosx. (2)3x2+12x+11 (3)cosx (4) (1)∵y==x+x3+, ∴y′=(x)′+(x3)′+(x-2sinx)′ =-x+3x2-2x-3sinx+x-2cosx. (2)方法一 y=(x2+3x+2)(x+3) =x3+6x2+11x+6, ∴y′=3x2+12x+11. 方法二 y′=[(x+1)(x+2)]′(x+3)+(x+1)(x+2)(x+3)′ =[(x+1)′(x+2)+(...

皮娟勤1838求隐函数的导数sin(x+y)=x+y -
孟怪娟17318838256 ______[答案] 实际上,还有一种取巧的方法:因为sin x = x 这个方程,只能是在x=0时成立 所以sin(x+y)=x+y,实际上就是x+y=0,所以求导变成了dy/dx=-1

皮娟勤1838e^x+sin(x+y)=0 求导数 -
孟怪娟17318838256 ______[答案] e^x+sin(x+y)=0 y=arcsin(-e^x)-x (1) e^x+cos(x+y)(1+y')=0 (2) 由(2)得y'=(-e^x)/cos(x+y)-1 把(1)代入得y'=(-e^x)/cos[x+arcsin(-e^x)-x ]-1 仅供参考