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16-24 Step-by-Step Examples
Now press and scroll down the screen to:
Now press to obtain the table of variations.
If you are not in step-by -step mode, you can also get the
calculation of the derivative by typing:
DERVX(G(X))
which produces the preceding result.
To prove the stated inequality, first calculate g(0) by
typing G(0) and pressing . The answer is: .
Now calculate g(2) by typing G(2) and pressing .
The answer is .
The two results prove that:
for
Solution 2
The calculator is not needed here. Simply stating that:
for
is sufficient to show that, for , we have:
Solution 3
To integrate the preceding
inequality, type the
expression at the right:
Pressing produces
the result at the right:
1
x 2+()
2
-------------------
→
3
2
---
7
4
---
3
2
---
gx()
7
4
---
≤≤ x 02[,]∈
e
x
n
---
0≥ x 02[,]∈
x 02[,]∈
3
2
---
e
x
n
---
gx()e
x
n
---
7
4
---
e
x
n
---
≤≤
hp40g+.book Page 24 Friday, December 9, 2005 1:03 AM