HP 40gs User Manual
Page 293
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Step-by-Step Examples
16-19
Now press
to see
the graphs.
Part 6
To find the values of
and
for
return to CAS, type each function in turn and press
. (You may need to press
twice for further
simplification).
For example, pressing
X
0
gives the result at the right:
Likewise, pressing
X
3
gives this
answer at the right:
The other results are:
The slope of the tangents is
.
We can find the values of
for
by
using the
lim command.
x t
( )
y t
( )
t
0
π
3
--- 2 π
⋅
3
----------
π
, ,
,
=
π
X
2
π
3
------
⎝ ⎠
⎛ ⎞
1
4
---
=
X
π
( ) 3
2
---
=
Y 0
( ) 0
=
Y
π
3
---
⎝ ⎠
⎛ ⎞
3
–
4
----------
=
Y
2
π
3
------
⎝ ⎠
⎛ ⎞
3
3
⋅
–
4
-----------------
=
Y
π
( ) 0
=
m
y' t
( )
x' t
( )
----------
=
y' t
( )
x' t
( )
----------
t
0
π
3
--- 2 π
⋅
3
----------
π
, ,
,
=
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