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):

\( \dfrac{ax+b}{px^2+qx+r}\)

Asked by Pragya Singh | 1 year ago |  54

1 Answer

Solution :-

Let f(x)  \( \dfrac{ax+b}{px^2+qx+r}\)

By quotient rule,

\( \dfrac{(px^2+qx+r)(a)-(ax+b)(2px+q)}{(px^2+qx+r)^2}\)

\( \dfrac{(apx^2+aqx+ar-aqx+2npx+bq)}{(px^2+qx+r)^2}\)

\( \dfrac{-apx^2+2bpx+ar-bq}{(px^2+qx+r)^2}\)

Answered by Abhisek | 1 year ago

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