Hp Prime Graphing Calculator Manuel d'utilisateur télécharger pdf (Page 332)

100

101

326 Functions and commands

Calculus

Differentiate With one expression as argument, returns derivative of the

expression with respect to x. With one expression and one

variable as arguments, returns the derivative or partial

derivative of the expression with respect to the variable. With

one expression and more than one variable as arguments,

returns the derivative of the expression with respect to the

variables in the second argument. These arguments can be

followed by $k (k is an integer) to indicate the number of times

the expression should be derived with respect to the variable.

For example, diff(exp(x*y),x$3,y$2,z) is the same as

diff(exp(x*y),x,x,x,y,y,z).

diff(Expr,[var])

diff(Expr,var1$k1,var2$k2,...)

Example:

diff(x^3-x) gives 3*x^2-1

Integrate Returns the indefinite integral of an expression. With one

expression as argument, returns the indefinite integral with

respect to x. With the optional second, third and fourth

arguments you can specify the variable of integration and the

bounds of the integrate.

int(Expr,[Var(x)],[Real(a)],[Real(b)])

Example:

int(1/x) gives ln(abs(x))

Limit Returns the limit of an expression when the variable

approaches a limit point a or +/– infinity. With the optional

fourth argument you can specify whether it is the limit from

below, above or bidirectional (–1 for limit from below, +1 for

limit from above, and 0 for bidirectional limit). If the fourth

argument is not provided, the limit returned is bidirectional.

limit(Expr,Var,Val,[Dir(1, 0, -1)])

Example:

limit((n*tan(x)-tan(n*x))/(sin(n*x)-

n*sin(x)),x,0)

gives 2

1 2 ... 327 328 329 330 331 332 333 334 335 336 337 ... 615 616

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Hp Prime Graphing Calculator Manuel d'utilisateur Page 332

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