InterviewSolution
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InterviewSolution
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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^(2)+qx+r)/(ax+b)` |
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Answer» Let `y=(px^(2)+qx+r)/(ax+b)` `rArr(dy)/(dx)=(d)/(dx((px^(2)+qx+r)/(ax+b))` `(ax+b)(d)/(dx)(px^(2)+qx+r)` `-(px^(2)+qx+r)(d)/(dx)(ax+b)` `(ax+b)^(2)` `=((ax+b)(2px+q)-(px^(2)+qx+r).a)/((ax+b)^(2))` `=((2apx^(2)+aqx+2bpx+bq)-(apx^(2)+aqx+ar))/((ax+b)^(2))` `=((apx^(2)+2bpx+bq-ar))/((ax+b)^(2))` |
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