Question:
Find the derivative of the following functions: (Cosx) /(1+Sinx)
Answer:
Let y = (Cosx) /(1+Sinx)
dy/dx = [(1 + sinx)*(-sinx) - cosx *(cosx)]/(1+sinx)2
= (-sinx -sin2 x -cos2 x)/(1+sinx)2
= {-sinx -(sin2 x + cos2 x)}/(1+sinx)2
= (-sinx - 1)/(1+sinx)2
= -(1+ sinx)/(1+sinx)2
= -1/(1+sinx)
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