What is the Chain Rule for Derivatives?

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Homework Help Overview

The discussion revolves around the application of the Chain Rule in calculus, specifically in determining the derivative of a composite function given certain values and derivatives of the inner and outer functions.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the application of the Chain Rule, with one attempting to determine the derivative of a composite function. Questions arise regarding the values of the derivatives and the function evaluations needed to apply the rule correctly.

Discussion Status

Some participants have provided guidance on the Chain Rule and its application, while others express confusion about the steps involved. The conversation reflects a mix of understanding and uncertainty, with no explicit consensus reached.

Contextual Notes

Participants are working with specific values for functions and their derivatives, but there may be assumptions or missing information regarding the functions themselves that are not fully clarified in the discussion.

thomasrules
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Given: h=f\circ g , g(2)=5, g\prime(2)=3, and f\prime(5)=-2
Determine h\prime(2)
 
Last edited:
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Use the fact that (f o g) ' (x) = f ' (g(x)) * g ' (x).
 
i don't get it
 
It's right in front of you, think about it.
 
The Chain rule states that given f(g(x)), the derivative f ' (g(x)) can be found by finding the derivative of f at g(x) multiplied by the derivative of g(x). Which is what radou pointed out.

Do we know f ' (g(x))? Think about what g(x) equals in this case. Do we know g ' (x)? Think! The chain rule is very important!
 
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got it ty...
 

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