hp40g+.book Page 17 Friday, December 9, 2005 1:03 AM

DERVX(F)

Or, if you have defined F(X) using DEF, that is, if you have typed:

 

DEF(F(X) =

--------------

X

+ LNX------------+ 1⎞ ⎞

 

 

 

X

2

– 1

X – 1⎠ ⎠

 

 

 

 

 

 

 

then type:

 

 

 

 

 

 

DERVX(F(X))

 

 

 

Simplify the result to get:

 

–--------------------------------

3 ⋅ x2 – 1

 

 

 

 

 

 

x4 – 2 ⋅ x2 + 1

 

 

 

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:

 

A[X]

 

 

 

 

 

 

-----------

 

 

 

 

 

 

B[X]

 

 

 

 

 

 

in the vicinity of X= 0.

 

 

Typing:

 

 

 

 

 

 

DIVPC(1+X2+X3,1+X2,5)

 

gives:

 

 

 

 

 

 

 

1 + x3 x5

 

 

 

 

 

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 cN of f(x), considered to be a function defined over interval [0, T]

Computer Algebra System (CAS)

14-17