Classroom Assignment Ryabushko - 6.5

Classroom assignment in higher mathematics, section 6.5.
Section: Chapter 6. Differential Calculus of Functions of One Variable and Its Applications
Topic: Differentials of the first and higher orders. Approximate calculations
Description: Separating the principal part of the increment of a function, estimating the error of replacing the increment of a function by its differential, finding differentials of the first, second and third orders, calculating approximate values of functions and roots using the differential.

Tasks:
1. Separate the principal part of the increment of a function and estimate the difference between the increment of the function and its differential
2. Find the first order differentials of the following functions
3. Find the second order differential of the function
4. Find the third order differentials of the functions
5. Find the approximate value of the function at a given point accurate to two decimal places
6. Find the approximate value of the root accurate to two decimal places

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