Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):
\( \dfrac{px^2+qx+r}{ax+b}\)
Let f(x) = \( \dfrac{px^2+qx+r}{ax+b}\)
By quotient rule,
\( \dfrac{(ax+b)(2px+q)-(px^2+qx+r)(a)}{(ax+b)^2}\)
\( \dfrac{2apx^2+aqx+2bpx+bq-aqx^2-aqx-ar}{(ax+b)^2}\)
\( \dfrac{apx^2+2bpx+bq-ar}{(ax+b)^2}\)
Differentiate with respect to x xn loga x
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