- #1
hman24
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Homework Statement
Need help with all of question 8 , any help would be appreciated thanks :D
Finding Derivatives and Using Point-Slope Form
- Thread starter hman24
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Homework Help Overview
The discussion revolves around finding derivatives and using point-slope form in the context of a specific homework question. The original poster seeks assistance with question 8, which involves differentiating a function and applying the derivative to find the slope at a given point.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants discuss the process of finding the derivative of a function and substituting a specific value to determine the slope. There are inquiries about the application of the chain rule and the use of derivative formulas. Some participants suggest starting the differentiation process and refer to resources for additional support.
Discussion Status
The discussion is active, with participants providing guidance on the relationship between derivatives and slopes of tangent lines. There is an emphasis on beginning the differentiation process and utilizing available resources, though no consensus on a specific method has been reached.
Contextual Notes
Participants note the need for clarity on the application of derivative rules and the potential use of external resources, indicating that some foundational knowledge may be assumed but not explicitly stated.
Need help with all of question 8 , any help would be appreciated thanks :D
- #2
80past2
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so find the derivative of those functions, and plug in x= whatever point they asked about. that's the slope at that point. so for the first one, find f'(x), and then plug in 1.
- #3
Ray Vickson
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hman24 said:Homework Statement
Need help with all of question 8 , any help would be appreciated thanks :D
Homework Equations
The Attempt at a Solution
You DO know that the slope of the tangent line equals the derivative, don't you? Well, in 8(i) you have y = (3x^2 - x - 3)^3. What is preventing you from taking the derivative?
The other are all similar: either use derivative formulas you have covered in class, or look in the book for related material that you may not have covered explicitly, or else consult tables of derivatives, etc. Basically, you just need to start.
RGV
- #4
genericusrnme
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Do you know how to chain rule?
- #5
iRaid
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Find the derivative (which is the slope), then use point slope form:
y-y1=m(x-x1)
y-y1=m(x-x1)
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