- #31
sonofjohn
- 76
- 0
I see, I'll make sure to keep the numbers and letters the same as they were in the problem.
Solving for the Slope of a Tangent Line at a Given Point with e^3x
- Thread starter sonofjohn
- Start date
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- Tags
- Derivative
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Homework Help Overview
The discussion revolves around finding the slope of the tangent line for the function f(x) = e^(3x) + 1, specifically at the point where this slope equals 2. Participants also explore a volume problem involving the rotation of a region bounded by y = e^x and y = 1 around the x-axis.
Discussion Character
- Mixed
Approaches and Questions Raised
- Participants discuss the application of the chain rule in differentiating the function e^(3x). There is some confusion regarding the correct derivative and its implications for finding the slope. Additionally, there are attempts to set up an integral for calculating the volume of a solid of revolution, with questions about the correct formulation of the washer method.
Discussion Status
Some participants have provided clarifications regarding the derivative and the setup of the volume problem. There is ongoing exploration of the relationships between different functions and their integrals, with participants questioning assumptions and interpretations of the problem statements.
Contextual Notes
There are indications of confusion regarding the bounds of integration and the definitions of the functions involved, as well as the proper application of the washer method in the volume problem.
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