Consider the function f(x) = = 6x³ - 9x +4 (a) Analytically obtain the first derivative of the function at x = 0 (b) Use forward-, central- and backward-difference approximation to obtain the numerical derivative of the function using step size h = 0.25. (c) Analytically obtain the integral of the function from 0 to 5. (d) Use Trapezoidal method to numerical integrate the function from 0 to 5 using h = 0.25.

Consider the function f(x) = = 6x³ - 9x +4 (a) Analytically obtain the first derivative of the function at x = 0 (b) Use forward-, central- and backward-difference approximation to obtain the numerical derivative of the function using step size h = 0.25. (c) Analytically obtain the integral of the function from 0 to 5. (d) Use Trapezoidal method to numerical integrate the function from 0 to 5 using h = 0.25.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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