HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 298
The calculator is not needed here. Simply stating
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hp40g+.book Page 24 Friday, December 9, 2005 1:03 AM 16-24 Now press and scroll down the screen to: 1--------(x + 2)2 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: 3-- . 2 Now calculate g(2) by typing G(2) and pressing . The answer is 7-- . 4 The two results prove that: 3-- ≤ g(x) ≤ 7-- for x ∈ [0,2] 2 4 Solution 2 The calculator is not needed here. Simply stating that: -x- en ≥ 0 for x ∈ [0,2] is sufficient to show that, for x ∈ [0,2] , we have: 3-- -x- en ≤ -x- g(x)en ≤ 7-- e -xn 2 4 Solution 3 To integrate the preceding inequality, type the expression at the right: Pressing produces the result at the right: Step-by-Step Examples