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Question
Find the derivatives of the following functions with respect to corresponding independent variables:
y = `x/(sin x + cosx)`
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Solution
y = `x/(sin x + cosx)`
`("d"y)/("d"x) = ((sinx + cosx)(1) - x(cosx - sinx))/(sinx + cos x)^2`
`("d"y)/("d"x) = ((sinx + cosx)- x(cosx - sinx))/(sinx + cos x)^2`
`("d"y)/("d"x) = (sinx + cosx - xcosx + xsinx)/(sinx + cosx)^2`
`("d"y)/("d"x) = ((1 + x) sinx + (1 - x)cosx)/(sinx + cosx)^2`
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