设函数f (x)在[0,1]上可导,且y=f (x)sin2x+f (x)cosx2,求 dy/dx 具体题目在问题补充

求函数f(x)在[0,1]上可导,且y=f(x)sin2x+f(x)cosx²,求dy/dx 高等数学（理工） 设曲线f(x)D [0.1]上可导,且y=f(sin2x)+f(cos2x)求dy/dx 设曲线f(x)在[0,1]上可导,且y=f(sin^2x)+f(cos^2x),求dy/dx 设f(x)为可导函数,求dy/dx:y=f(arcsin(1/x)) 设f(x)可导,且f'(0=1,又y=f(x^2+sin^2x)+f(arctanx),求dy/dx /x=0 设函数f(x)在(-∞,+∞)上连续,且f(x)=e^x+1/e∫(0,1)f(x)dx,求f(x) 设f(x)可导,且y=f(x²)+f[f(x)],求dy/dx 设f(x)=1/x,y=f[(x-1)/(x+1)],求dy/dx 设曲线f(x)在（0,1）上可导,且y=f(Sin2(2为上标）x)f(cos2(2为上标）x),求Dy/Dx 设f x 为可导函数,y=f^2(x+arctanx),求dy/dx 设函数f(x)可导,且y=f(x2),则 dy/dx=? 设f（x）在【0,1】上连续且∫(0,1)f(x)dx=A,证明∫(0,1)dx∫(x,1)f(x)f(y)dy=A∧2