75 2. Let f(x) = 2+ 3x² on the interval 15z5 50. (a) Use the approximation formula to estimate the derivative of f(x) on the interval i51S 50, and record the answers in Excel cells. (b) Plot f(z) and its derivative on the same graph. (c) Find the best fitting curve for the derivative gotten from Part (a) and write the function in the Text box. (d) Find all critical points using Goal Seek. (e) Identify the local maximum and minimum for the given domain. Write the answer in the Text box. (1) Identify the global maximum and minimum for the given domain. Write the answer in the Text box.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
2. Let f(x) =
75
+ 3a on the interval 1 <#< 50.
(a) Use the approximation formula to estimate the derivative of f(x) on the interval i<¤<
50, and record the answers in Excel cells.
(b) Plot f(z) and its derivative on the same graph.
(c) Find the best fitting curve for the derivative gotten from Part (a) and write the function
in the Text box.
(d) Find all critical points using Goal Seek.
(e) Identify the local maximum and minimum for the given domain. Write the answer in the
Text box.
(f) Identify the global maximum and minimum for the given domain. Write the answer in the
Text box.
Transcribed Image Text:2. Let f(x) = 75 + 3a on the interval 1 <#< 50. (a) Use the approximation formula to estimate the derivative of f(x) on the interval i<¤< 50, and record the answers in Excel cells. (b) Plot f(z) and its derivative on the same graph. (c) Find the best fitting curve for the derivative gotten from Part (a) and write the function in the Text box. (d) Find all critical points using Goal Seek. (e) Identify the local maximum and minimum for the given domain. Write the answer in the Text box. (f) Identify the global maximum and minimum for the given domain. Write the answer in the Text box.
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