Compute the first derivative of y = 2x^4 - 6x^3 - 12x - 8 at the point x=0 based on the value at xo = -0.5 using the most error-reducing approximations for forward difference approximation and the central difference approximation. Estimate the true percent relative error E2 for each approximation above.
Compute the first derivative of y = 2x^4 - 6x^3 - 12x - 8 at the point x=0 based on the value at xo = -0.5 using the most error-reducing approximations for forward difference approximation and the central difference approximation. Estimate the true percent relative error E2 for each approximation above.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 1SE: Can the average rate of change of a function be constant?
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Transcribed Image Text:Compute the first derivative of y = 2x^4 - 6x^3 - 12x - 8 at the point x=0 based on the value at xo = -0.5
using the most error-reducing approximations for forward difference approximation and the central
difference approximation.
Estimate the true percent relative error E2 for each approximation above.
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