Use an advanced graphing calculator to instantly compute derivatives, integrals, and roots. Visualize functions and solve equations with ease.
RNfinity | Published 08-06-2026
| Updated 10-06-2026
⚡ Calculus Graph Studio · Derivative & Integral Visualizer
Explore a powerful graphing calculator designed to simplify advanced mathematics. Instantly compute derivatives, evaluate integrals, and find roots of any function with precision. Whether you're studying calculus, analyzing functions, or visualizing equations, this tool delivers fast, accurate results alongside clear graphical representations. Perfect for students, educators, and engineers who need reliable mathematical insight in seconds.
📖 HOW TO USE — STEP BY STEP
Enter any function in the text box (examples: x^2 - 4, sin(x), x^3 - 4*x). Use ^ for powers, * for multiplication.
Press "Plot & Analyze" — the calculator automatically displays:
🔵 f(x) (blue curve)
🟠 f'(x) derivative (orange curve)
🟣 ∫f(x)dx indefinite integral with F(0)=0 (purple curve)
🌱 Roots (x-intercepts) are automatically detected and shown as orange dots with exact values.
📐 Definite Integral: Set custom lower (a) and upper (b) bounds, then click "Calculate Area" to get the signed area under the curve (highlighted in light orange).
🖱️ Interact with the graph: Drag to pan, scroll to zoom. Use "Reset View" to return to default zoom.
💡 Example buttons let you quickly test x² - 4, x³ - 4x, sin(x), and a cubic with multiple roots.
⚡ Graph area is now taller (700px) with proportionally adjusted Y-axis range.
🌱 ROOTS / X-INTERCEPTS (f(x) = 0)
— computing —
Accurate root-finding with adaptive refinement
📐 DEFINITE INTEGRAL (AREA UNDER CURVE)
∫ fromto
Area = —
📈 DERIVATIVE f'(x)
—
📊 INDEFINITE INTEGRAL
∫ f(x) dx = ?
F(x) = ∫₀ˣ f(t)dt (F(0)=0) + C
🎨 Active Curves
f(x) f'(x) ∫f(x)dx Area Roots
✅ Ready. Graph area is 700px tall with proportional Y-axis range (x: -6 to 6, y: -8 to 8).
