设y=f(x,t),而t=t(x,y)可由F(x,y,t)=0确定,求dy/dx.f,F都是可微函数

设y=f(x,t),而t=t(x,y)可由F(x,y,t)=0确定,求dy/dx.f,F都是可微函数 设y=f(x,t),而t是方程F(x,y,t)=0所确定的x,y的函数(F't(x,y,t)≠0),求dy/dx.. 设y=f(x,t),而t是方程F(x,y,t)=0所确定的x,y的函数(F't(x,y,t)≠0),求dy/dx.. 设f可微,其中f(x,y)=f(-x,-y),则f’x(0,0)=?求详细说明T^T 设函数y=∫(0,x)(x-t)f(t)dt,f(x)为连续函数, x=f'(t).y=tf'(t)-f(t),设f(t)存在且不等于零,求二阶导数 设f(t)是二次可微函数且f''(t)不等于0 x=f'(t),y=tf'(t)-f(t),求dy/dx,d^2y/dx^2 设z=f(x,y)且x=t+sint,y=t^2,f(x,y)可微,则dz/dt设z=f(x,y)且x=t+sint,y=t^2,f(x,y)可微,求dz/dt 设y=∫(x,0)(x-t)f'(t)dt,则dy等于 微分方程 矩阵 x'(t)=x(t)+y(t)+2t y'(t)=x(t)+y(t)-2t 设y=f(x,t)由F(x,y,t)=0确定,什么含义?设y=f(x,t)由F(x,y,t)=0确定,求dy/dx . 设u=x^y,而x=m(t),y=n(t)都是可微函数,求du/dt.希望给出过程, 求参数方程导数x=f'(t),y=tf'(t)-f(t)x=f'(t)y=tf'(t)-f(t) 求该参数方程的导数[f'(t)+tf''(t)-f'(t)]/f''(t)...y=tf'(t)-f(t) 的导数是什么?我觉得应该是tf''(t)-f'(t)..但是答案为什么是 f'(t)+tf''(t)-f'(t) 设y=f(x,t)而t=t(x,y)是方程F(x,y,t)=0确定的隐函数,f、F均有一阶连续偏导数且F't+F'yf't≠0,求dy/dx 设z=y/x,而x=e^t,y=1-e^(-2t),求dz/dt?$(acontent) 设z=e^(2x-y),而x=t,y=t^2,求dz/dt . 设z=x^2y,而x=cot t,y=sin t,求dz/dt 设x=t^2-1,y=t^4-2t^3,求y