'''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 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>
::<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.