HP 40gs - 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:
NOTE: 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]
D
EF(F(X)
X
X
2
1–
---------------
LN
X 1+
X 1–
-------------
⎝⎠
⎛⎞
⎠
⎞
+=
3 x
2
1–⋅
x
4
2– x
2
1+⋅
---------------------------------
–
AX[]
BX[]
------------
1 x
3
x
5
–+
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