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DavidsonNext: Cal_APccx AP® Calculus: Challenging Concepts from Calculus AB & Calculus BC

Davidson Next Graphing Application

The interactive above is meant to mimic a graphing calculator. The application provides functionality required for the AP exam. Users can type in up to 5 different functions and apply the following actions:

  • Plotting the function;
  • Plotting the derivative of the function;
  • Finding zeroes of the function;
    • Use the x1 input box to seed the search.
  • Calculating the numerical derivative;
    • Use the x1 input box to specify a point at which to evaluate the derivative.
  • Calculating the numerical integral.
    • Use the x1 and x2 input boxes to specify the limits of your integral.

How to enter in mathematical notation:

  • ">Use + to denote addition; e.g. 2+3.
  • Use − to denote subtraction; e.g. x-1.
  • Use ∗ to denote multiplication; e.g. 2∗x.
  • Use ∧ to denote exponentiation; e.g. x∧2 for x2.
  • Use / to denote division; e.g. 7/x for \(\frac{7}{x}\).
  • Type pi for the mathematical constant π.
  • Type e for the mathematical constant e.
  • Type sqrt, sin, cos, ln, arccos, etc. for the known functions √, sin, cos, ln, arcos, etc.
  • Use parentheses ( ) to specify order of operations.

You can find a tutorial in the "Getting Started" unit in the main content.