We find the equation of the tangent to a curve at a specific point, by first finding the general expression for the derivative of the curve, then evaluating it at the point, and then using this information to find the equation of the tangent.

Equation of the tangent to a curve (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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Equation of the tangent to a curve (MathsCasts)

Equation of the tangent to a curve (MathsCasts)