secx的导数公式为:(secx)' = secx·tanx;cscx的导数公式为:(cscx)' = -cscx·cotx。具体推导过程如下:

u' = 0(常数的导数为0)
v' = -sinx(cosx的导数为-sinx)代入公式得:y' = [0·cosx - 1·(-sinx)] / (cosx)² = sinx / (cosx)²


u' = 0
v' = cosx(sinx的导数为cosx)代入公式得:y' = [0·sinx - 1·cosx] / (sinx)² = -cosx / (sinx)²
