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AP Calculus AB

AP Calculus AB. Day 6 Section 6.1. Slope Field a visual representation of the derivative of a function at individual points. used to show the rate of change of a function at a specific set of given points. Solution Curve.

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AP Calculus AB

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  1. AP Calculus AB Day 6 Section 6.1 Perkins

  2. Slope Field a visual representation of the derivative of a function at individual points used to show the rate of change of a function at a specific set of given points Solution Curve a possible graph of the differential equation for a given slope field. 1a. Sketch the slope field for x and y in [-3,3] to represent the differential equation The slope of each tangent line depends on the x-value. b. Sketch two possible solution curves for the differential equation.

  3. 2. This is the slope field for: The slope of each tangent line depends on the y-value. Slopes are negative when y’s are negative. There are horizontal tangents when y = 0.

  4. 3. Sketch a solution of the differential equation which must pass though the point (2,0). Then solve the differential equation analytically. At (2,0)

  5. AP Calculus AB Day 6 Section 6.1 Perkins

  6. Slope Field a visual representation of the derivative of a function at individual points used to show the rate of change of a function at a specific set of given points Solution Curve a possible graph of the differential equation for a given slope field. 1a. Sketch the slope field for x and y in [-3,3] to represent the differential equation b. Sketch two possible solution curves for the differential equation.

  7. 2. This is the slope field for:

  8. 3. Sketch a solution curve for the differential equation which must pass though the point (2,0). Then solve the differential equation analytically.

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