HP 40gs User Manual
Page 199
Computer Algebra System (CAS)
14-17
DERVX(F)
Or, if you have defined F(X) using
DEF, that is, if you have
typed:
then type:
DERVX(F(X))
Simplify the result to get:
DIVPC
Division in increasing order by exponent
DIVPC has three arguments: two polynomials A(X) and
B(X) (where B(0)
≠
0), and a whole number n.
DIVPC returns the quotient Q(X) of the division of A(X) by
B(X), in increasing order by exponent, and with deg(Q)
<= n or Q = 0.
Q[X] is then the limited nth-order expansion of:
in the vicinity of X= 0.
Typing:
DIVPC(1+X
2
+X
3
,1+X
2
,5)
gives:
N O T E :
When the calculator displays a request to change to
increasing powers mode, respond yes.
FOURIER
Fourier coefficients
FOURIER has two parameters: an expression f(x) and a
whole number N.
FOURIER returns the Fourier coefficient c
N
of f(x),
considered to be a function defined over interval [0, T]
DEF(F(X)
X
X
2
1
–
--------------- LN X 1
+
X 1
–
-------------
⎝
⎠
⎛
⎞
⎠
⎞
+
=
3 x
2
1
–
⋅
x
4
2
–
x
2
1
+
⋅
---------------------------------
–
A X
[ ]
B X
[ ]
------------
1 x
3
x
5
–
+
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