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given y=(x+cosx)/(tanx)
we know firstb derivative test lim h tends to 0( f(x+h)-f(x))/h
sorry iam not solve by using above formula it is so lengthy.It is better to solve u/v method
d/dx((x+cosx)/(tanx))=(tanx.(1-sinx))-((x+cosx).sec2x)/tan2x
=(tanx.(1-sinx))-(secx(1+xsecx))/tan2x
there fore derivative of Y=(tanx.(1-sinx))-(secx(1+xsecx))/tan2x
thank you
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