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Limits, Derivatives, and Integrals

Limits, Derivatives, and Integrals
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2017-12-06 16:01
DerivativeIntegralLimit
This example demonstrates the concepts of limits, derivatives, and integrals. It shows how to calculate the derivative f'(x) and the integral f(x)dx using the graph of function f(x). Parameters are adjusted using sliders to observe changes in the function. GeoGebra commands used include Limit, Derivative, Integral, Textfield, and InputBox. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Limit(f, 3) → a
  2. Derivative(f) → f'
  3. Derivative(f, 2) → f''
  4. Integral(f) → g
  5. Textfield(f) → InputBox1
  6. Textfield(a) → InputBox2
  7. Integral(g) → h
  8. Integral(f, 1, 4) → b
  9. Textfield(b) → InputBox3

AI Drawing Prompt Reference

Draw the graph of function f(x), and show its limit at x=3 as a, calculate the first derivative f'(x) and second derivative f''(x), as well as the indefinite integral g(x) and the definite integral from 1 to 4. Use text boxes to input parameters and display results a and b.
The prompt above was compiled from the original drawing commands and is for reference only.