3.13 Function f(x) = 3x² +6x – 5 is given. 1. Calculate the value of df/dx at x=1 using the forward-, back- ward-, and central-difference approximations with Ax=1. Compare the results with the exact value of df/dx at x=1. 2. Calculate the value of d²f/dx² at x=1 using the central-differ- ence approximation. Use Ax=1 to compare the result against the exact value of d²f/dx² at x=1.
3.13 Function f(x) = 3x² +6x – 5 is given. 1. Calculate the value of df/dx at x=1 using the forward-, back- ward-, and central-difference approximations with Ax=1. Compare the results with the exact value of df/dx at x=1. 2. Calculate the value of d²f/dx² at x=1 using the central-differ- ence approximation. Use Ax=1 to compare the result against the exact value of d²f/dx² at x=1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Transcribed Image Text:Exercises
3.13 Function f(x)= 3x2+ 6x– 5 is given.
1. Calculate the value of df/dx at x=1 using the forward-, back-
ward-, and central-difference approximations with Ar= 1. Compare
the results with the exact value of df/dx at x= 1.
2. Calculate the value of d²f/dx² at x=1 using the central-differ-
ence approximation. Use Ax=1 to compare the result against the
exact value of d²f/dx² at x= 1.
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