Differentiation

Show that the nth differential coefficient of \displaystyle \frac{1}{ax+b} is \displaystyle \left(-1\right)^{n}\frac{a^{n}n!}{\left(ax+b\right)^{n+1}}.  Use partial fractions to find the nth differential coefficient of

    \[\frac{3x}{(2x-1)(4x+3)}\]

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Miscellaneous Examples, Question 21, p. 222)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

Leave a Reply