If y=sinx(1+cosx),then dy/dx is
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y=tan−11+cosxsinx
dxdy=1+cosxsinx+11⋅(1+cosx)2(1+cosx)cosx−(sinx⋅(−sinx))⋅21+cosxsinx1
=sinx+cosx+11+cosx⋅(1+cosx)22⋅2sinx1+cosx
=sinx+cosx+11⋅sinx(cosx+1)1
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