Calculus - Derivative of a Function

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Homework Help Overview

The discussion revolves around finding the derivative of a function, specifically within the context of calculus. Participants are sharing their attempts and insights related to the differentiation process.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • Participants are sharing their computed answers and expressing varying levels of confidence in their results. Some mention using calculators to verify their answers, while others suggest relationships between functions and their derivatives.

Discussion Status

The discussion is active, with multiple participants contributing their findings and hints. There is a sense of collaboration, as some participants provide insights that may help clarify the problem, though no explicit consensus has been reached on the correct derivative.

Contextual Notes

One participant notes a specific relationship involving hyperbolic functions, indicating a potential avenue for further exploration. There is also mention of the challenge in sharing work, which may affect the depth of the discussion.

bobraymund
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Homework Statement



Find the derivative of the function.

Homework Equations



calcproblem.gif

The Attempt at a Solution


I have tried this out and came up with an answer that I'm not too confident with, I got:

calcsolution.gif


I would show my work on here, but don't know how to exactly, so my bad. Thanks in advance,
Bob
 
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That's what I got, and my calculator agrees.

Hint: e^u * e^-u = 1.
 
That's what I get too.
 
you can also note that x= tanh(u) and the derivative of tanh(u) is sech2(u).
 
Wow, thanks a lot for the prompt responses. Normally I'd post something like this on Yahoo Answers and not get an answer for a few days.

Again, thanks a bunch.

-Bob
 

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