a) The derivative of a function f(x) at a particular value of x can be approximately calculated by f'(x) = f(x+h)-f(x) h For f(x) = 7e0.5x and h = 0.3, find: i. ii. iii. the approximate value of f'(2). the true value of f'(2). the absolute and relative errors for part (i). b) Given the following operation: 50.36 41.13 +0.001 - 13.393 Compute the most accurate value for the operation where each number has been rounded to the certain decimal points.

a) The derivative of a function f(x) at a particular value of x can be approximately calculated by f'(x) = f(x+h)-f(x) h For f(x) = 7e0.5x and h = 0.3, find: i. ii. iii. the approximate value of f'(2). the true value of f'(2). the absolute and relative errors for part (i). b) Given the following operation: 50.36 41.13 +0.001 - 13.393 Compute the most accurate value for the operation where each number has been rounded to the certain decimal points.

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.CR: Chapter 4 Review

Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...

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