How do you find a dervative of this

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Homework Help Overview

The discussion revolves around finding the derivative of a limit expression involving the sine function, specifically as \( h \) approaches 0. The subject area is calculus, focusing on differentiation and trigonometric identities.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the interpretation of the limit expression and the application of trigonometric identities. Questions arise about the correct formulation of the limit and the rules applicable for differentiation.

Discussion Status

The conversation is ongoing, with participants exploring different interpretations of the limit and discussing relevant trigonometric concepts. Some guidance has been offered regarding the simplification of the sine function, but no consensus has been reached on the approach to take.

Contextual Notes

There is a mention of using trigonometric identities and the unit circle, indicating that participants are considering various methods to understand the derivative conceptually. The original poster's question lacks specific details about the function being differentiated, which may affect the discussion.

janemba
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how do you find the derivative of this problem and what rule do you use

lim sin(pi+h)-Sin pi
h-> 0 h
 
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… sinπ = 0 …

Hi janemba! :smile:

Do you mean [tex]\frac{sin(\pi + h) -sin\pi}{h}[/tex] ?

If so, remember that sinπ = 0, so it's just [tex]\frac{sin(\pi + h)}{h}\,.[/tex]

Which is … ? :smile:
 
yes but how did you got the answer
 
How do you expand:

[tex]sin(x+y)=?[/tex]

Trig identity ...
 
It's even simpler than that, take a look at a unit circle and think about what happens with every rotation of pi radians.
 

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