Calculus — Derivative, Integral & Graphing

An interactive tool to compute derivatives (numeric & symbolic), approximate definite integrals, and preview function graphs. Great for learning, checking work, and quick exploration.

Numeric integrator (trapezoid)

Results

Derivative (raw)
Result will appear here
Humanized:
Simplify steps
No simplify output
Evaluate at x
Result will appear here
Expression (humanized)
x²
Numeric integral
Result will appear here
Symbolic integral
No symbolic integral computed
Function plot
No function plot. Click "Plot function" to preview f(x) over [a,b].

What this tool does

This tool helps you explore mathematical functions quickly: - Compute numeric derivatives (approximations) to check slopes at a point. - Obtain symbolic derivatives when available. - Approximate definite integrals using the trapezoid rule to estimate area under a curve. - Preview function graphs to better understand behavior over a chosen range.

Important notes for users

  • Symbolic results and simplifications come from math libraries — they are mathematically equivalent but may look different than textbook forms.
  • For complicated expressions or functions with singularities, numeric results may be NaN or unstable; try adjusting the range or the number of steps.
  • This tool is intended for learning and quick exploration and is not a substitute for professional mathematical software in formal or production workflows.