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3.7
Implicit
Differentiation
Niagara Falls, NY & Canada
Greg Kelly, Hanford High School, Richland, Washington
Photo by Vickie Kelly,
2003
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View Full Document Before we start, we are going to load the
Calculus Tools flash application software to your
calculator.
1.
Connect the sending and receiving calculators together.
2.
On the
sending
unit, press
, and
then
.
2nd
VARLINK
2nd
F7
Press
to select
.
F4
Calculus Tools
3.
On the
receiving
unit, press
.
2nd
VARLINK
4.
On
both
units, press
(Link).
F3
4.
On the
receiving
unit, select
(Receive).
2
5.
On the
sending
unit, select
(Send).
1
→
2
2
1
x
y
+
=
This is not a function,
but it would still be
nice to be able to find
the slope.
2
2
1
d
d
d
x
y
dx
dx
dx
+
=
Do the same thing to both sides.
2
2
0
dy
x
y
dx
+
=
Note use of chain rule.
2
2
dy
y
x
dx
= 
2
2
dy
x
dx
y

=
dy
x
dx
y
= 
→
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View Full Document 2
2
sin
y
x
y
=
+
2
2
sin
d
d
d
y
x
y
dx
dx
dx
=
+
This can’t be solved for
y
.
2
2
cos
dy
dy
x
y
dx
dx
=
+
2
cos
2
dy
dy
y
x
dx
dx

=
( 29
2
2
cos
dy
x
y
dx
=

2
2
cos
dy
x
dx
y
=

This technique is called
implicit differentiation.
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