Difference between revisions of "Slope fields"
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(New page: '''Slope fields''' are tiny segments drawn throughout the x-y plane, with each segment having the corresponding slope at that (x,y) point of the derivative of the function: ::<math>\frac{...) |
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| − | '''Slope fields''' are tiny segments drawn throughout the x-y plane, with each segment having the corresponding slope at that (x,y) point of the derivative of the function: | + | '''Slope fields''' are tiny segments drawn throughout the [[coordinate plane|x-y plane]], with each [[line segment|segment]] having the corresponding slope at that (x,y) point of the derivative of the function: |
::<math>\frac{dy}{dx}</math> | ::<math>\frac{dy}{dx}</math> | ||
| − | [[ | + | |
| + | The purpose of drawing slope fields is that it then permits easy connection of the tiny segments to draw approximate curves representing the [[Derivative (calculus)|derivative]] of the [[function]] on the x-y plane. | ||
| + | [[Category:Mathematics]] | ||
Latest revision as of 21:17, September 8, 2020
Slope fields are tiny segments drawn throughout the x-y plane, with each segment having the corresponding slope at that (x,y) point of the derivative of the function:
- <math>\frac{dy}{dx}</math>
The purpose of drawing slope fields is that it then permits easy connection of the tiny segments to draw approximate curves representing the derivative of the function on the x-y plane.