Here are some common (and hopefully interesting) commands to know about the HP50g (also 49g+/49g):

 

KEYBOARD

 

Derivative:

 

RPN Mode:

1.  Enter the expression between single quotes

2.  Enter the variable between single quotes

3.  Press Right-shift, COS key

 

ALG Mode:

1.  Press Right-shift, COS key

2.  Enter variable

3.  Press Left-shift, - key

4.  Enter expression

5.  Press ENTER

 

Example: d/dx (x^2 - sin x)   (Radians mode)

 

RPN Mode

'X^2-SIN(X)', ENTER, 'X', ENTER, Right-Shift, COS Key 

 

ALG Mode

Right-shift, COS Key, X, Left-shift, - Key, X^2-SIN(X), ENTER

 

Integral

 

RPN Mode

Set up the stack as such:

 

4:  lower limit

3:  upper limit

2:  'expression(variable)'   (in single quotes)

1:  'variable'                       (in single quotes)

Right-shift, TAN Key

 

ALG Mode

 

Right-shift, TAN Key, lower limit, Right-shift, SPC Key (comma), upper limit, Right-shift, SPC Key, expression(variable), Right-shift, SPC Key, variable, ENTER

 

Sums

 

RPN Mode

Set up the stack as such:

 

4:  'variable'   (I recommend X, especially if you are doing infinite sums, because this function sometimes changes the VX variable)

3:  lower limit

2:  upper limit

1:  'expression(variable)'

Right-shift, SIN Key

 

ALG Mode

 

Right-shift, SIN Key, variable, Right-shift, +/- Key (equals), lower limit, Right-Shift, SPC Key, higher limit, Right-shift, SPC Key,expression(variable), ENTER

 

The Best of the Symbolic Menu, So Far...

 

ALG Submenu:

EXPAND(F1) - Expands the expression, multiplies the factors out  (i.e.  EXPAND((x^2-3)^2) returns x^4-6x^2+9)

FACTOR (F2) - Factors the expression or an integer  (i.e. FACTOR(390) returns 2*3*5*13)

SUBST (F5) - Substitution Function 

                    RPN Mode:  'expression(variable)'    'variable=value'   SUBST

                    ALG Mode:  SUBST(expression(variable),variable=value)

 

ARITH Submenu:

DIVIS (F1) - Find the divisors of the integer   (i.e.  DIVIS(135) returns {1, 3, 9, 27, 5, 15, 45, 135})

ISPRIME? (F4) -  Returns 1 if the integer is prime, 0 if it is composite

PROPFRAC (F5) - Converts improper fraction to a proper one  (i.e.  PROPFRAC(144/17) returns 8 + 8/17)

 

CALC Submenu:

DERVX (F2) - Derivative of any expression of VX, (default VX= X)

INTVX (F4) - Indefinite integral of any expression of VX (default VX = X)

 

You won't find these in any menu.

 

You must either type the command, or find in the catalog.  Access the catalog by Right-Shift SYMB Key.

 

XQ -  Convert decimal to exact number (fraction)   [similar to ->Q in the CONVERT-REWRITE menu]

 

PEVAL - Evaluation of a polynomial

RPN Mode:   vector of coefficients (power decreasing), value

 

PROOT - Roots of a polynomial

RPN Mode:  vector of coffecients

 

PCOEF - Find a polynomial with specific roots

RPN Mode:  vector of roots

 

For PEVAL, PROOT, PCOEF:  vector of coefficients has powers of decending power (from n to 1), all zero coefficients must be entered

 

Example:  x^3 - 2x + 6 is entered as [1, 0, -2, 6]

 

STEQ - Stores whatever is Level 1 to the variable EQ

 

PUSH - in programming, saves all of your flag settings.  This allows you to change flag settings without worry

 

POP - this recalls your stored flag settings.  Best place to use this is the end of your program