📐
微分積分ビジュアライザー
微分積分【無料・ビジュアル学習】関数の接線・積分面積をリアルタイム描画。微分・積分の概念をアニメーションで直感的に理解。リーマン和・シンプソン法対応。
Calculus Visualizer
Presets:
f(x)
tangent
Drag to pan, scroll to zoom
Tangent point a: 1
f(1)
1
f'(1)
2
Tangent line equation
y = 2(x - 1) + 1
Derivative Steps
f(x) = x²
f'(x) = 2x
Power rule: d/dx[x^n] = n*x^(n-1)
📖How to Use
- 1Enter a function expression
- 2Select differentiation (derivative) or integration (definite/indefinite)
- 3See the result visualized on a graph
💡Tips & Knowledge
- •A derivative represents the slope (rate of change) at a given point — it's the slope of the tangent line
- •A definite integral corresponds to the area between the curve and the axis — approximated by Riemann sums
- •The ε-δ definition is rigorous but complex; building intuition through "slope" and "area" is the key first step
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