- #1
karush
Gold Member
MHB
- 3,269
- 5
ok attemped to do this desmos but was sondering if there is away to get these slope in a 3rd column in the table with $m=\dfrac{\delta y}{\delta x}$
In summary, the conversation is about calculating the slope of the secant line in a table using the formula $m=\dfrac{\delta y}{\delta x}$ and whether using Desmos is necessary. It is mentioned that the derivative is not relevant in this case and the values for the slope of the secant line are calculated for different x values.
ok attemped to do this desmos but was sondering if there is away to get these slope in a 3rd column in the table with $m=\dfrac{\delta y}{\delta x}$
- #2
- 2,021
- 796
Do you need to use Desmos? It's easy enough to calculate: \(\displaystyle \dfrac{d(sec(x)}{dx} = tan(x)~sec(x)\)
-Dan
-Dan
- #3
karush
Gold Member
MHB
- 3,269
- 5
I just thot it would be cute if I did,,
- #4
HOI
- 921
- 2
How is the derivative relevant at all? The problem does not ask for the slope of the tangent line, it asks for the slope of the "secant" line, through P= (0.5, 0) and $Q= (x, cos(\pi x))$ for various values of x.
For (i) x= 0 so Q= (0, 1) and the slope of the slope of the secant line is $\frac{0- 1}{0.5- 0}= -2$. For (ii) x= 0.4 so Q=(0.4, 0.9998) so the slope of the secant line is $\frac{0- 0.9998}{.5- .4}= -9.998$ (to three decimal places).
What do you get for the others?
For (i) x= 0 so Q= (0, 1) and the slope of the slope of the secant line is $\frac{0- 1}{0.5- 0}= -2$. For (ii) x= 0.4 so Q=(0.4, 0.9998) so the slope of the secant line is $\frac{0- 0.9998}{.5- .4}= -9.998$ (to three decimal places).
What do you get for the others?
1. What is the purpose of finding slope with Desmos and Table?
The purpose of finding slope with Desmos and Table is to analyze the rate of change between two variables in a given data set. This can help in understanding the relationship between the variables and making predictions about future values.
2. How do you find slope with Desmos and Table?
To find slope with Desmos and Table, you can use the slope formula: (y2-y1)/(x2-x1). Simply input the values of the two points into the formula and solve for the slope. Alternatively, you can use the "slope" function in Desmos which automatically calculates the slope for you.
3. Can you find slope with Desmos and Table for non-linear data?
Yes, you can find slope with Desmos and Table for non-linear data. However, the slope will only represent the rate of change between the two points that were inputted. It may not accurately represent the overall trend of the data.
4. How does Desmos and Table help in visualizing slope?
Desmos and Table provides a graph of the data, making it easier to visualize the relationship between the variables and the slope. By plotting the data points and drawing a line between them, you can see the steepness of the slope and how it changes over the given interval.
5. Can Desmos and Table be used to find the slope of a line of best fit?
Yes, Desmos and Table can be used to find the slope of a line of best fit. By inputting the data points into Desmos and using the "fit" function, you can generate a line of best fit and find its slope. However, it is important to note that the line of best fit may not always accurately represent the data and should be used with caution.
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