We investigate the significance of differentiating a Laplace transform and relate the derivative to the inclusion of an extra factor of 't' in the original transform. The idea is extended to multiple derivatives and powers of t.

The derivative of a Laplace transform (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 derivative of a Laplace transform (MathsCasts)

The derivative of a Laplace transform (MathsCasts)