1.

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): `(ax+b)/(cx+d)`

Answer» Let `y=(ax+b)/(cx+d)`
`rArr(dy)/(dx)=(d)/(dx)((ax+b)/(cx+d))`
`=((cx+d)(d)/(dx)(ax_b)-(ax+b)(d)/(dx)(cx+d))/((cx+d)^(2))`
`=(acx+ad-acx-bc)/((cx+d)^(2))=(ad-bc)/((cx+d)^(2))`


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