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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)/(ax^(2)+bx+c)` |
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Answer» Let `y=(1)/(ax^(2)+bx+c)` `(dy)/(dx)=(d)/(dx)((1)/(ax^(2)+bx+c))` `=((ax^(2)+bx+c)(d)/(dx)(1)-1(d)/(dx)(ax^(2)+bx+c))/((ax^(2)+bx+c)^(2))` `=(0-(2ax+b))/((ax^(2)+bx+c)^(2))=-(2ax+b)/((ax^(2)+bx+c)^(2))` |
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