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MATLAB Examples - Numerical Differentiation

MATLAB ExamplesHans-Petter HalvorsenNumerical DifferentiationNumerical DifferentiationA Numerical approach to the derivative of a function = ( )is:Note! We will use MATLAB in order to find the numericsolution not the analytic solutionThe derivative of a function = ( )is a measure of how changes with . Numerical DifferentiationMATLAB Functions for Numerical Differentiation :diff()polyder() MATLAB is a Numerical language and do not perform symbolic mathematics .. well, that is not entirely true because there is Symbolic Toolbox available for DifferentiationGiven the following equation: = '+2 * +3 Find (use pen and paper ). Define a vector x from -5 to +5 and use the diff()function to approximate the derivative y with respect to x (.)

Numerical Differentiation A numerical approach to the derivative of a function !=#(%)is: Note! We will use MATLAB in order to find the numericsolution –not the analytic solution The derivative of a function !=#(%) is a measure of how !changes with %.

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