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Mathematical Functions and Differential Calculus

In this chapter we discuss the concept of a mathematical function and its relationship to the behavior of physical variables. We define the derivative of a function of one independent variable and discuss its geometric interpretation. We discuss the use of derivatives in approximate calculations of changes in dependent variables and describe their use in finding minimum and maximum values of functions. [Pg.89]

A mathematical function of one variable is a rule for obtaining a value of a dependent variable that corresponds to any value of an independent variable. [Pg.89]

The derivative of a function is a measure of how rapidly the dependent variable changes with changes in the value of the independent variable. If Ay is the change in the dependent variable produced by a ehange Ax in the independent variable, then the derivative dy/dx is defined by [Pg.89]

The derivatives of many simple functions can be obtained by applying a few simple mles, either separately or in combination. [Pg.89]

A finite increment in a dependent variable. Ay, can sometimes be calculated approximately by use of the formula [Pg.89]

See other pages where Mathematical Functions and Differential Calculus is mentioned: [Pg.89]    [Pg.90]    [Pg.94]    [Pg.96]    [Pg.98]    [Pg.100]    [Pg.102]    [Pg.106]    [Pg.108]    [Pg.110]    [Pg.112]    [Pg.114]    [Pg.116]    [Pg.118]    [Pg.120]    [Pg.89]    [Pg.90]    [Pg.92]    [Pg.94]    [Pg.96]    [Pg.98]    [Pg.100]    [Pg.102]    [Pg.104]    [Pg.106]    [Pg.108]    [Pg.110]    [Pg.112]    [Pg.114]    [Pg.116]    [Pg.118]    [Pg.120]   


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