While authoring an expression, the text can be edited using the following line edit commands:
Cursor movement commands:
Ctrl-S move left a character
Ctrl-D move right a character
Ctrl-A move left a word
Ctrl-F move right a word
Ctrl-Q S move to left end of line
Ctrl-Q D move to right end of line
Text deletion commands:
Ctrl-H Backspace delete char left of cursor
Ctrl-G Del delete char at the cursor
Ctrl-T delete word beginning at cursor
Ctrl-Y delete whole line
Ctrl-Q Y delete right end of line
Ctrl-Q H delete left end of line
Miscellaneous commands:
Ctrl-M Enter enter line of text
Ctrl-J Ctrl-Enter enter and simplify line of text
Esc abort edit and return to menu
Ctrl-V Ins toggle insert/overwrite modes
Ctrl-U insert previous line of text
F3 insert highlighted expression
F4 insert highlighted expression enclosed in parentheses
On PC compatible computers, the following Greek letters can be entered by holding down the Alt key while pressing the corresponding Latin (English) letter:
Alt-A alpha Alt-M mu
Alt-B beta Alt-P pi
Alt-G Gamma Alt-S sigma
Alt-D delta Alt-T tau
Alt-N epsilon Alt-F Phi
Alt-H Theta Alt-O Omega
On PC compatible computers, the following mathematical constants and functions can be entered by holding down the Alt key while pressing the corresponding letter:
Alt-E #e base of the natural logs
Alt-I #i square root of -1
Alt-Q SQRT square root function
Functions, Constants, and Operators
Derive knows how to approximate and/or simplify the following mathematical functions, constants, and operators. In approximate mode and given numeric arguments, they are approximated numerically to the current precision level.
Otherwise they are simplified algebraically using powerful transformations. Many transformations are applied automatically; some are applied only when you request them by issuing a Manage command.
PERM (z, w) permutations of z things taken w at a time
COMB (z, w) combinations of z things taken w at a time
Statistical functions (page 79):
AVERAGE (z1, ..., zn) arithmetic mean (average)
RMS (z1, ..., zn) root mean square
VAR (z1, ..., zn) variance
STDEV (z1, ..., zn) standard deviation
FIT (m) least-squares fit to data matrix m
Error functions (page 81):
ERF (z) error function
ERF (z, w) generalized error function
ERFC (z) complementary error function
NORMAL (z, m, s) normal distribution function with
mean m and standard deviation s
Financial functions (page 81):
PVAL (i, nper, pmt, fval, time) present value of contract
FVAL (i, nper, pmt, pval, time) future value of contract
PMT (i, nper, pval, fval, time) periodic payment of contract
NPER (i, pmt, pval, fval, time) number of payment periods of contract
Calculus functions (page 83):
LIM (u, x, a) limit of u as x approaches a from above
LIM (u, x, a, 0) limit of u as x approaches a from below
DIF (u, x) derivative of u wrt x
DIF (u, x, n) nth order derivative of u wrt x
TAYLOR (u, x, a, n) nth order Taylor approximation of u about a
INT (u, x) antiderivative of u wrt x
INT (u, x, a, b) definite integral of u wrt x from a to b
SUM (u, n) antidifference of u wrt n
SUM (u, n, k, m) definite sum of u as n goes from k to m
PRODUCT (u, n) antiquotient of u wrt n
PRODUCT (u, n, k, m) definite product of u as n goes from k to m
Vector functions (page 94):
VECTOR (u, k, m, n, s) a vector of u as k goes from m to n in steps s
ELEMENT (v, n) element n of a vector
v . w dot product of vectors
CROSS (v, w) cross product of two vectors
DIMENSION (v) number of elements of a vector
OUTER (v, w) outer product of two vectors
Matrix functions (page 98):
IDENTITY_MATRIX (n) n by n identity matrix
ELEMENT (A, j, k) element in row j and column k of a matrix
A . B dot product of matrices
A` transpose of a matrix (On PC-9801, use Yen char)
DET (A) determinant of a square matrix
TRACE (A) trace (sum of diagonal) of a square matrix
A ^ -1 inverse of a square matrix
ROW_REDUCE (A, B) row echelon form of A augmented by B
CHARPOLY (A, x) characteristic polynomial of a square matrix
EIGENVALUES (A, x) eigenvalues of a square matrix
Differential vector calculus (page 104):
GRAD (expn) gradient of expn depending on x, y, and z
GRAD (expn, v) gradient of expn depending on variables in v
GRAD (expn, A) gradient of expn in coordinate system A
DIV (v, A) divergence of a vector
LAPLACIAN (expn, A) divergence of the gradient of expn
CURL (v, A) curl of a vector
Integral vector calculus (page 107):
POTENTIAL (v) scalar potential of a vector
POTENTIAL (v, w) potential of a vector with starting coordinates w
VECTOR_POTENTIAL (v) vector potential of a vector
JACOBIAN (v, w) Jacobian matrix of partial derivatives
COVARIANT_METRIC_TENSOR (J) Covariant metric tensor of Jacobian matrix
SQRT_DIAGONAL (G) square roots of the diagonal of a metric tensor
Equation operators and functions (page 47):
u = v u equals v
u /= v u not equal v
u < v u less than v
u <= v u less than or equal to v
u > v u greater than v
u >= v u greater than or equal to v
SOLVE (u, x) solve u = 0 for x
SOLVE (u = v, x) solve u = v for x
SOLVE (u = v, x, a, b) solve u = v for x in [a, b]
Algebra Window Command Menu
To issue a menu option command, press the Space bar until the desired command is highlighted, then press the Enter key. Alternatively, type the letter that is capitalized in the desired command.
The following gives the page in the Derive Manual that describes each of the Algebra window's command menu options.
17 Author enter a new expression
22 Build combine expressions
Calculus
85 Differentiate differentiate an expression
87 Integrate integrate an expression
83 Limit limit of an expression
91 Product find a closed form product
90 Sum find a closed form sum
86 Taylor find a Taylor approximation
Declare
45 Constant declare a constant's value
46 Function declare a function's definition
43 Variable declare a variable's domain
93 Matrix declare a matrix
93 vectoR declare a vector
34 Expand expand an expression
37 Factor factor an expression
11 Help help on
10 Editing line editing commands
71 Functions functions and constants
8 Algebra algebra window commands
55 2D-plot 2D-plot window commands
66 3D-plot 3D-plot window commands
15 State current state of system
11 Return return to Derive
19 Jump highlight an expression
49 soLve solve an equation
Manage
37 Branch principal vs real roots
71 Exponential exponential transforms
72 Logarithm logarithmic transforms
34 Ordering variable ordering
41 Substitute substitute in an expression
73 Trigonometry trigonometric transforms
Options
Color
55 Menu set menu, message, and status line colors
55 Work set expression area colors
53 Display set display mode
12 Execute execute DOS command
29 Input set variable name input mode
10 Mute mute audible error beeps
26 Notation set numeric notation style
24 Precision set arithmetic precision mode
27 Radix set input and output radix bases
55 Plot plot an expression
12 Quit quit Derive
23 Remove remove expressions
19 Simplify simplify an expression
Transfer
13 Merge merge expressions from file
14 Clear clear expressions from window
14 Demo simplify expressions from file
13 Load read expressions from file
13 Save write expressions to file
Print
14 Printer print expressions to printer
14 File print expressions to file
14 Layout set page size and margins
15 Options set height, range, and character set
sTate
16 Load load state from file
16 Save save state in file
22 moVe move expressions
Window
64 Close close a window
64 Designate designate window's type
65 Flip flip overlaid windows (= F2 key)
64 Goto go to a given window
64 Next go to next window (= F1 key)
65 Open open a window
64 Previous go to previous window
Split split window
63 Horizontal horizontally
63 Vertical vertically
27 approX approximate an expression
2D-plot Window Command Menu
To issue a menu option command, press the Space bar until the desired command is highlighted, then press the Enter key. Alternatively, type the letter that is capitalized in the desired command.
The following gives the page in the Derive Manual that describes each of the 2D-plot window's command menu options.
58 Algebra switch to an Algebra window
58 Center center window over cross
Delete delete from the plot list
59 All all expressions
59 Butlast all but the last expression
59 First the first expression
59 Last the last expression
11 Help help on
10 Editing line editing commands
71 Functions functions and constants
8 Algebra algebra window commands
55 2D-plot 2D-plot window commands
66 3D-plot 3D-plot window commands
15 State current state of system
11 Return return to Derive
56 Move move the cross to coordinates
Options
59 Accuracy set plot accuracy
Color
60 Plot set plot and axes colors
55 Menu set menu, message, and status line colors
55 Work set plot area background color
53 Display set display mode
12 Execute execute DOS command
10 Mute mute audible error beeps
26 Notation set numeric notation style
24 Precision set arithmetic precision mode
27 Radix set input and output radix bases
62 Type select rectangular or polar plot type
56 Plot plot highlighted expression
12 Quit quit Derive
58 Scale set plot scale
57 Ticks set aspect ratio
Window
64 Close close a window
64 Designate designate window's type
65 Flip flip overlaid windows (= F2 key)
64 Goto go to a given window
64 Next go to next window (= F1 key)
65 Open open a window
64 Previous go to previous window
Split split window
63 Horizontal horizontally
63 Vertical vertically
57 Zoom zoom plot scale in or out
Pressing the F9 function key zooms both axes in. F10 zooms both axes out.
On PC compatible computers, pressing the F5 function key switches to the previous display mode as set by an Options Display command. F5 is a fast way to switch between text and graphics display modes.
3D-plot Window Command Menu
To issue a menu option command, press the Space bar until the desired command is highlighted, then press the Enter key. Alternatively, type the letter that is capitalized in the desired command.
The following gives the page in the Derive Manual that describes each of the 3D-plot window's command menu options.
