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Differentiate cos (x+y)

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Differentiate cos (x+y)

Posted by Chhavi Hurria 6 years, 11 months ago

Entrance Exam > JEE main > Mathematics

1 answers

Mahadasu Tushara 6 years, 10 months ago

Cos(x+y)=cosx cosy+sinx siny Differentiating with respect to x and by product rule d/dx(cos(x+y))= -sinxcosy+ cosx (-siny)(dy/dx) +sinx(cosy)(dy/dx)+siny(cosx) =cosxsiny-sinxcosy+(dy/dx)(sinxcosy-cosxsiny) =-sin(x+y)+(dy/dx)sin(x+y) =sin(x+y)((dy/dx)-1)

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Entrance Exam > JEE main > Mathematics