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14-16 Computer Algebra System (CAS)
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DERIV Derivative and partial derivative
DERIV has two arguments: an expression (or a function)
and a variable.
DERIV returns the derivative of the expression (or the
function) with respect to the variable given as the second
parameter (used for calculating partial derivatives).
Example
Calculate:
Typing:
DERIV(X·Y
2
·Z
3
+ X·Y,Z)
gives:
DERVX Derivative
DERVX has one argument: an expression. DERVX
calculates the derivative of the expression with respect to
the variable stored in VX.
For example, given:
calculate the derivative of f.
Type:
Or, if you have stored the definition of f(x) in F, that is, if
you have typed:
then type:
∂ xy
2
z
3
⋅⋅ xy⋅+()
∂z
----------------------------------------------
3 xy
2
z
2
⋅⋅ ⋅
fx()
x
x
2
1–
--------------
x 1+
x 1–
------------
⎝⎠
⎛⎞
ln+=
D
ERVX
X
X
2
1–
---------------
LN
X 1+
X 1–
-------------
⎝
⎠
⎛
⎞
+
⎝
⎠
⎛
⎞
TORE
X
X
2
1–
---------------
LN
X 1+
X 1–
-------------
⎝⎠
⎛⎞
F,+
⎝
⎠
⎛
⎞
hp40g+.book Page 16 Friday, December 9, 2005 1:03 AM