Finding derivatives, To find, Derivatives in home – HP 39g Graphing Calculator User Manual
Page 161: Finding derivatives -23, Home, Q] d, Derivatives in
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Finding derivatives
To find
derivatives in
HOME
The HP 39G/40G can perform symbolic differentiation on
some functions. There are two ways of using the HP 39G/40G
to find derivatives.
•
You can perform differentiations in HOME by using the
formal variables, SI to S5.
•
You can perform differentiations of functions of X in the
Function aplet.
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:
2
dx{ sin (x ) + 2 cos (x))
1. Enter the differentiation function onto the command line
substituting S1 in place of X.
pha
I
si
d/dx
[T] j s i N j I
alpha
)
s i
H Q
0
2 0
fcosj I ALPHA I SI
Q] D]
2. Evaluate the function.
ENTER
3. Show the result.
(T|
COs(s 1
1+2-SI H(S 1)
HP39G
..CSINCSP)+2C0SCS1))4
iSl<SIN<Sl
=
>+2*C0SiSl„,
C0S<Sl = >i<2*Sl>+2*-SI,„
smi
COS(S1®0S1-2'SIN(S1)
HP40G
Using mathematical functions
10-23