Solving for f'(2) & f(2): A Tangent Line Challenge

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Homework Help Overview

The problem involves finding the values of f'(2) and f(2) given that the equation of the tangent line to the graph of y=f(x) at x=2 is y=2x-3. The context is centered around understanding the relationship between a function and its tangent line.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the meaning of tangent lines and how to derive values from the given equation. Some question the wording of the problem, while others attempt to clarify the relationship between the slope of the tangent line and the derivative.

Discussion Status

There is a mix of attempts to clarify concepts and explore the problem. Some participants provide insights into the relationship between the tangent line and the function, while others express confusion or engage in unrelated commentary.

Contextual Notes

Participants are navigating the implications of the tangent line equation and its connection to the function values at a specific point. There is a lack of consensus on the interpretation of the problem, and some posts diverge into unrelated topics.

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Homework Statement


suppose y=2x-3 is an en equation of the tangent line to the graph of y=f(x) at the point where x=2. find the value of f'(2) and f(2).


Homework Equations


I know how to get the tangent line, but this wording throws me off. a little help at how to solve f(2) and f'(2).


The Attempt at a Solution



I have attempted and failed.
 
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What does tangent mean?
 
since y=2x-3 is an en equation of the tangent line to the graph of y=f(x) at the point where x=2 , f'(2) equals to slope of the tangent line (2)
you can find f(2) easily by drawing a graphic.
 
suppose you want to kiss somebody, but must do something at some point. You kiss this person only if you are at that point. How would you graph this?
 
naaa00 said:
suppose you want to kiss somebody, but must do something at some point. You kiss this person only if you are at that point. How would you graph this?
Oh, I like that!
 
Why would someone answer a post this old?
 
Well, naaa00 is a newby.

Beyond that, it appears that HoF got a real kick out of naaa00's post, so it was well worthwhile for naaa00 to post in this old thread. (IMO)
 

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