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Calculus Visualizer

Math Experiment Details

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📖 About This Experiment

Explore the fundamental concepts of calculus: derivatives (rates of change), integrals (areas under curves), and tangent lines. Visualize how the derivative represents the slope of a function at any point and how the integral accumulates area.

💡 Key Concepts

  • •Derivative: Instantaneous rate of change, slope of tangent line
  • •Integral: Area under curve, accumulation of quantities
  • •Fundamental Theorem: Derivative and integral are inverse operations
  • •Riemann Sum: Approximating area with rectangles

🔢 Key Formulas

Derivative Definition
f'(x) = lim[h→0] (f(x+h) - f(x))/h
Fundamental Theorem
d/dx ∫[a,x] f(t)dt = f(x)
Power Rule
d/dx(xⁿ) = nxⁿ⁻¹
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