Processing math: 100%

Show that the derivative of y = tan x is y=ddxtanx=sec2x

Solution y=ddxtanx=Identityddxsinxcosx=Quotient Rule[ddxsinx]cosxsinx[ddxcosx]cos2x=cosxcosxsinx(sinx)cos2x=cos2x+sin2xcos2x=1cos2x=sec2x