How Do I Solve 1st and 2nd Derivative Homework Problems?

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Homework Help Overview

The discussion revolves around solving problems related to first and second derivatives, as presented in a textbook. The original poster seeks alternative methods for approaching these derivative problems.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the necessity of differentiation and explore potential alternative methods, with some questioning whether other approaches exist beyond standard differentiation techniques.

Discussion Status

Some participants have offered suggestions regarding the differentiation process, including specific substitutions that may simplify the problem. However, there is no clear consensus on alternative methods, and the discussion remains open to further exploration.

Contextual Notes

The original poster has not provided complete information or specific equations, which may limit the depth of the discussion. There is also an indication of imposed homework constraints that may affect the approaches considered.

LiHJ
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Homework Statement



Dear Mentors PF Helpers,

Here's my question:

image.jpg


I see it from my textbook with it solutions copied down below. Wonder is there another way to do it.
Thank you for your time.

Homework Equations



image.jpg
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The Attempt at a Solution


image.jpg
 
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I do not see that you did any differentiation.
 
Sorry forgot to copied these as well

image.jpg
 
I do not see any other way than doing the differentiation. You may replace sec(x) by 1/cos(x), and replace the argument of the logarithm by (1+sinx)/cos(x) before differentiating.
 
Thank you
 

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