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Find the derivative of the following functions (it is to be understand that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers): `(1+(1)/(x))/(1-(1)/(x))` |
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Answer» Let `y=(1+(1)/(x))/(1-(1)/(x))=(x+1)/(x-1)` `rArr(dy)/(dx)=(d)/(dx)((x+1)/(x-1))` `=((x-1)(d)/(dx)(x+1)-(x+1)(d)/(dx)(x-1))/((x-1)^(2))` `=((x-1).1-(x+1).1)/((x-1)^(2))=-(2)/((x-1)^(2))`. |
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