If y = ((1+ex)/(1-ex))1/2. Show that dy/dx = ex/((1-ex)(1-e2x)1/2)

Dear student

y=1+ex1-exdydx=121+ex1-ex(1-ex)(0+ex)-(1+ex)(0-ex)(1-ex)2=121-ex1+ex(ex-e2x)+(ex+e2x)(1-ex)2=121-ex1+ex2ex(1-ex)2=1-ex1+ex×1(1-ex)2×ex(1-ex)=11+ex×1(1-ex)×ex(1-ex)=ex(1-ex)11-e2x

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