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