Question: what is the derivative of inverse trig function?
Answer: Derivatives of Inverse Trigonometric Functions. (arcsinx)′=f′(x)=1φ′(y)=1(siny)′=1cosy=1√1−sin2y=1√1−sin2(arcsinx)=1√1−x2(−1<x<1). (arcsec x)′=1(secy)′=1tanysecy=1secy√sec2y−1=1|x|√x2−1.