Hp 48g Graphing Calculator Manual de usuario descargar pdf (Pagina 252)

100

101

Implicit Differentiation

An implicit function of, say, x and y is a function in which one of the

variables (y ) is not directly expressed in terms of the other variable

(/). This may be because it is either impossible, difficult, or not at all

obvious how the expression may be solved for one variable in terms

of the other. When this happens it is still possible to differentiate the

expression using normal rules of differentiation (and the chain rule).

To perform implicit differentiation:

1. Enter the implicit function onto the stack. Instead of using two

independent variables (such as x and y), make the second variable

dependent on the first (such as x and y(x)). This links the two

variables appropriately so that the differentiation treats the

function as implicit, instead of eliminating one of the variables as a

constant.

2. Enter the variable of differentiation onto the stack (using the '

delimiters).

3. Press OCD to compute the implicit derivative. You may see a

user-defined derivative (such as derYO-i? 1)) included in the result.

This is the way the HP 48 expresses the derivative of one variable

dY '

with respect to the other (such as

Taylor Polynomial Approximation

For any mathematical function represented by a symbolic expression,

you can compute a Taylor’s polynomial approximation about r = 0,

sometimes called a Maclaurin series. You can also specify the order of

the polynomial.

1. Press fT^fSYMBOLIC 1 ffl (T)

POLYHuMIflL form.

OK to open the I'hVLON

20-12 Calculus and Symbolic Manipulation

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Hp 48g Graphing Calculator Manual de usuario Pagina 252

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