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HP -28S Manual Page 120

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~
tan
(x
2
+
1)
dx
d
tan
(x
2
+
1) x
~
(x
2
+
1)
d(x
2
+
1)
dx
The derivative of the tangent function has been evaluated. Next you'll
evaluate the derivative of x
2
+
1.
Evaluate the expression a second time.
2:
1 :
I (
1 +SQ <TAN (X"'2+
1) )
>*
~X(X"'2)
I
RI3lr:m::J DB mmilDCIIIlillCI
The result reflects the derivative of a sum:
~
(x
2
+
1)
=
~
x
2
+
~
1
dx
dx
dx
The derivative of 1 is 0, so that term disappears. Next you'll evaluate
the derivative of x
2 .
Evaluate the expression a third time.
I
EVAL
I
1'::2:-:':-----------,
1 :
I (
1 +SQ <TAN (X"'2+
1) )
>*
(~X(X)*2*XA(2-1"'
RI3lr:m::J DB mmilDCIIIlillCI
The result again reflects the chain rule:
~
x
2
=
~
(X)2
X
~
x
dx
dx
dx
The derivative of x
2
has been evaluated. Finally, evaluate the deriva-
tive of
x
itself.
Evaluate the expression a fourth time.
I
EVALI
~2~:-----------,
1 :
I (
1 +SQ <TAN (X
A
2+
1)
" *
(2*X)
I
RI3lr:m::JDBmmilDCIIIlillCI
Here is the fully evaluated derivative.
10: Calculus
119

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