y=∫(1→t)e^(-t^2*s^2)ds,求dy/dt

y= ∫[0,x](t-1)^3(t-2)dt,dy/dx(x=0) y＝∫（x 1）sin（t∧2）dt,求dy/dx y＝∫（1 -x）sin（t∧2）dt,求dy/dx 已知 x=e^t ,dy/dx=dy/xdt .分析变换具体步骤 d^2y/dx^2=(d^2y/dt^2-dy/dt) 如图.令x=e^t,为什么y''x^2=(d^2y)/(dt^2)-dy/dt? 求该函数对x的导数 y=∫ (1,-x ) sin(t^2) dt ,求dy/dx dx/dt=6t+2,dy/dt=（3t+1）sin（t^2）,求d^2y/dx^2 设y=∫(上4下x) √1+t^2·dt,求dy 设y=∫(上x^2下1)1/1+t·dt,求dy/dx 求dy/dx,y=∫sin(t^2)dt由1/x积到根号x 设由方程∫(y,0)e^(t^2)dt+∫(1,x^2)cos√tdt确定y为x的函数,求dy/dx 求∫0到y e^-t^2dt+∫0到x cost^2dt=0所确定的隐函数y对x的导数dy／dx,答案是-e^y^2co 求∫0到y e^-t^2dt+∫0到x cost^2dt=0所确定的隐函数y对x的导数dy／dx