HP 39GS hp 39gs_user's guide_English_E_HDPMG39AE13.pdf - Page 173

Finding derivatives, Symbolic, calculations in, the Function, aplet

Page 173 highlights

(The | symbol is in the CHARS menu: press CHARS. The = sign is listed in the MATH menu under Symbolic functions.) Symbolic calculations in the Function aplet You can perform symbolic operations in the Function aplet's Symbolic view. For example, to find the derivative of a function in the Function aplet's Symbolic view, you define two functions and define the second function as a derivative of the first function. You then evaluate the second function. See "To find derivatives in the Function aplet's Symbolic view" on page 13-22 for an example. Finding derivatives The HP 39gs can perform symbolic differentiation on some functions. There are two ways of using the HP 39gs to find derivatives. • You can perform differentiations in HOME by using the formal variables, S1 to S5. • You can perform differentiations of functions of X in the Function aplet. To find derivatives in HOME To find the derivative of the function in HOME, use a formal variable in place of X. If you use X, the differentiation function substitutes the value that X holds, and returns a numeric result. For example, consider the function: dx( sin (x 2 ) + 2 cos (x) ) 1. Enter the differentiation function onto the command line, substituting S1 in place of X. S1 S1 2 Using mathematical functions 13-21

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Using mathematical functions
13-21
(The | symbol is in the CHARS menu: press
CHARS
.
The = sign is listed in the MATH menu under Symbolic
functions.)
Symbolic
calculations in
the Function
aplet
You can perform symbolic operations in the Function
aplet’s Symbolic view. For example, to find the derivative
of a function in the Function aplet’s Symbolic view, you
define two functions and define the second function as a
derivative of the first function. You then evaluate the
second function. See “To find derivatives in the Function
aplet’s Symbolic view” on page 13-22 for an example.
Finding derivatives
The HP 39gs can perform symbolic differentiation on
some functions. There are two ways of using the HP 39gs
to find derivatives.
You can perform differentiations in HOME by using
the formal variables, S1 to S5.
You can perform differentiations of functions of X in
the Function aplet.
To find derivatives
in HOME
To find the derivative of the function in HOME, use a
formal variable in place of X. If you use X, the
differentiation function substitutes the value that X holds,
and returns a numeric result.
For example, consider the function:
1.
Enter the differentiation function onto the command
line, substituting S1 in place of
X
.
S1
S1
2
dx
x
(
2
)
sin
(
2
x
( ))
cos
+