differentiate each of the following w r t x under root of 1+ex/1-ex - Maths - Matrices

Question

differentiate each of the following w r t x
under root of 1+ex/1-ex

Manbar Singh · Accepted Answer

Let y = 1 + ex1 - ex⇒log y = 12log1 + ex1 - ex⇒log y = 12log 1+ex - log1-ex⇒1ydydx = 12ex1+ex + ex1-ex⇒dydx = y2ex1+ex + ex1-ex⇒dydx = 121 + ex1 - exex1+ex + ex1-ex⇒dydx = 121+ex1-exex1-ex+1+ex1+ex1-ex⇒dydx = 121+ex1-ex × ex×21+ex1-ex⇒dydx = ex1-e2x 
 1-ex

differentiate each of the following w.r.t.xunder root of 1+ex/1-ex

differentiate each of the following w.r.t.x
under root of 1+e^x/1-e^x