Difference between revisions of "Slope fields"

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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:  
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'''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 of the function on the x-y plane.
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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]]
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[[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.