Question:
derivative of cos(x +y)
Answer:
Let y = cos(x+y)
dy/dx = -sin(x+y)*(1+dy/dx)
=> (1+dy/dx)/(dy/dx) = -1/sin(x+y)
=> {1/{dy/dx)} + 1 = -1/sin(x+y)
=> {1/{dy/dx)} = -1 - 1/sin(x+y)
=> {1/{dy/dx)} = {-sin(x+y)-1}/sin(x+y)
=> dy/dx = - sin(x+y)/{1+ sin(x+y)}
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