Transcription of Parametric Differentiation - mathcentre.ac.uk
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Parametric Differentiation - mathcentre.ac.uk
ParametricDifferentiationmc-TY-parametri c-2009-1 Instead of a functiony(x)being defined explicitly in terms of the independent variablex, itis sometimes useful to define bothxandyin terms of a third variable,tsay, known as aparameter. In this unit we explain how such functions can be differentiated using a processknown as Parametric order to master the techniques explained here it is vital that you undertake plenty of practiceexercises so that they become second reading this text, and/or viewing the video tutorial on this topic, you should be able to: differentiate a function defined parametrically find the second derivative of such a Parametric definition of a of a function defined mathcentre 20091. IntroductionSome relationships between two quantities or variables areso complicated that we sometimesintroduce a third quantity or variable in order to make things easier to handle.
mc-TY-parametric-2009-1 Instead of a function y(x) being defined explicitly in terms of the independent variable x, it is sometimes useful to define both x and y in terms of a third variable, t say, known as a parameter. In this unit we explain how such functions can be differentiated using a process known as parametric differentiation.
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