deravative of

tan-1(sinx/1+cosx)

ddxtan-1sinx1+cosx=11+sinx1+cosx2ddxsinx1+cosx                                     =1+cosx21+cosx2+sinx21+cosxddxsinx-sinxddx1+cosx1+cosx2                                     =11+cos2x+2cosx+sin2x1+cosxcosx-sinx-sinx1                                     =cosx+cos2x+sin2x1+2cosx+ cos2x+sin2x                                     =cosx+11+2cosx+1                                     =cosx+12cosx+1                                     =12Hence, ddxtan-1sinx1+cosx =12

  • 0
What are you looking for?