1) Use forward and backward difference approximations with error of O(h²) and a centered difference approximation of O(h) to estimate the first derivative of function between (1.00 to 7.00) using a step size h = 0.2. Generate a table and draw the graph in the range of (1.0 to 7.0 and 34 pieces) for forward, backward, centered 1st derivatives of the function. 3x f(x)=x²e7

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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1) Use forward and backward difference approximations with error of O(h³) and a centered
difference approximation of O(h*) to estimate the first derivative of function between (1.00 to 7.00)
using a step size h = 0.2.
Generate a table and draw the graph in the range of (1.0 to 7.0 and 34 pieces) for forward, backward,
centered 1“ derivatives of the function.
3x
f (x) = x²e
Transcribed Image Text:1) Use forward and backward difference approximations with error of O(h³) and a centered difference approximation of O(h*) to estimate the first derivative of function between (1.00 to 7.00) using a step size h = 0.2. Generate a table and draw the graph in the range of (1.0 to 7.0 and 34 pieces) for forward, backward, centered 1“ derivatives of the function. 3x f (x) = x²e
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