We investigate the rule for differentiating an inverse function then make some observations about reciprocals of 1st and 2nd derivatives.

The rule for differentiation of an inverse function (MathsCasts)

These MathsCasts were produced by the mathematics support centres at Swinburne University, the University of Limerick and Loughborough University. They were part of a collaborative research project to develop high quality resources and investigate the effectiveness of MathsCasts to support mathematics learning. The full set of resources are available at http://commons.swin.edu.au/s/mathscasts MathsCasts are licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License

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The rule for differentiation of an inverse function (MathsCasts)

The rule for differentiation of an inverse function (MathsCasts)