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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): `(px+q)((r)/(x)+s)` |
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Answer» Let `y=(pix+q)((r)/(x)+s)` `=pr+psx+(qr)/(x)+qs` `rArr(dy)/(dx)=(d)/(dx)(pr+psx+(qr)/(x)+qs)` `=(d)/(dx)pr+ps(d)/(dx)x+qr(d)/(dx)x^(-1)+(d)/(dx)qs` `=0+ps(1)+qr(-1x^(-2))+0` `=ps-(qr)/(x^(2))` |
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