HP Prime Graphing NW280AAABA manual Calculus, DiffExpr,var DiffExpr,var1$k1,var2$k2

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])

or

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

326 Functions and commands