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Unit converter
Calculators
Energy and fuel Construction Fractions Equations Area and perimeter Volume and surface Trigonometry Powers and roots Logarithms Calculus BMI calculator Percentages Rule of three Average
Quantities
Time Length Weight Density Torque Volume Area Work (energy) Flow rate Speed Force Pressure Power Temperature Data size Data rate
Conversion tables
Conversion tables Cooking conversions Imperial units Old Czech units Density (liters to kg) kW to hp and Nm kJ to kcal and kWh Pressure: bar, psi, kPa Speed: km/h, m/s Flow: l/min, m³/h Slope: % and degrees Oven temperature SI prefixes Roman numerals Data units (MB, GiB) Mbps to MB/s Fuel: l/100 km and MPG Temperature conversions
Home / Derivatives and integrals

Derivatives and integrals

Derivatives and integrals made visual: tangent to a graph, area under a curve, Riemann sums, symbolic differentiation and formula references.

Pick a tool. Type your own function and see it drawn – with a tangent (derivative) or shaded area (integral).

Derivative at a point

f'(x₀)

Compute the derivative of a function at a point and see the tangent line – its slope is the derivative.

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Symbolic derivative

d/dx f(x)

Differentiate a function symbolically (2x² → 4x). Type your own function and get its derivative.

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Definite integral

∫ₐᵇ f(x) dx

Compute a definite integral as the area under a curve between limits, with the area shaded on the graph.

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Riemann sums

Σ f(xᵢ)·Δx

See how Riemann sums approximate the area under a curve with rectangles – why the integral is an area.

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Derivative formulas

(xⁿ)' = n·xⁿ⁻¹

Reference of derivatives of basic functions (power, sine, exponential, logarithm) with a live differentiator.

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Integral formulas

∫ xⁿ dx = xⁿ⁺¹/(n+1)

Reference of basic integrals (antiderivatives) with a live definite-integral calculator.

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Differentiation rules

(u·v)' = u'v + uv'

Product, quotient and chain rule explained with live examples.

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Quantities

  • Time
  • Length
  • Weight
  • Density
  • Torque
  • Volume
  • Area
  • Work (energy)
  • Flow rate
  • Speed
  • Force
  • Pressure
  • Power
  • Temperature
  • Data size
  • Data rate

Conversion tables

  • Cooking conversions
  • Imperial units
  • Old Czech units
  • Density (liters to kg)
  • kW to hp and Nm
  • kJ to kcal and kWh
  • Pressure: bar, psi, kPa
  • Speed: km/h, m/s
  • Flow: l/min, m³/h
  • Slope: % and degrees
  • Oven temperature
  • SI prefixes
  • Roman numerals
  • Data units (MB, GiB)
  • Mbps to MB/s
  • Fuel: l/100 km and MPG
  • Temperature conversions
  • All tables
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