Solve Calculus Questions with Step-by-Step Solutions

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    Calculus
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Homework Help Overview

The discussion revolves around solving calculus problems, specifically involving the Taylor series and piecewise functions. Participants are exploring methods to find derivatives and critical points in the context of absolute values.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the Taylor series for ln(1+x) as a potential tool. There is a suggestion to handle absolute values by defining them piecewise and finding derivatives for each piece. Questions arise about the possibility of one of the equations canceling out when solving.

Discussion Status

The discussion is active, with participants providing guidance on handling piecewise functions and derivatives. There are multiple interpretations regarding the approach to the problem, particularly in how to set up the equations.

Contextual Notes

Participants are working with specific calculus problems that may have constraints related to the definitions of functions and derivatives. The original poster has provided a link to their questions, indicating a need for clarity on their attempts.

transgalactic
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1. Do you know the taylor series of ln (1+x) ? That would help.

2. Come on mate you can do this one. Don't let the absolute value scare you, just replace it with its piece wise definition! If x > 0, |x| = x. If x < 0, |x| = -x and if x=0, |x| = 0.

Find the derivative for the two separate pieces. Find the correct derivatives (check your working again), then set them equal to 0 for the extreme points and solve.
 
so i make two separate equations and solve them
is there a chance that one of them will cancel out??
 
Not two separate equations, just a single function that defined in terms of TWO pieces.
 

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