HP 40gs - Manual (Page 198)

14-16 Computer Algebra System (CAS)
DIFF menu
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:
∂ x y 2
z
3 ⋅ ⋅ x y ⋅ + ( )
∂z
----------------------------------------------
3 x y
2
z
2
⋅ ⋅ ⋅
f x ( )
x
x
2
1 –
--------------
x 1 +
x 1 –
------------
⎝ ⎠
⎛ ⎞
ln + =
DERVX
X
X
2
1 –
--------------- LN X 1
+
X 1 –
-------------
⎝ ⎠
⎛ ⎞
+
⎝ ⎠
⎛ ⎞
TORE
X
X
2
1 –
--------------- LN X 1
+
X 1 –
-------------
⎝ ⎠
⎛ ⎞ F
, +
⎝ ⎠
⎛ ⎞
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