Calculus

Master derivatives, integrals, and mathematical analysis

Interactive Calculus Tools

Derivative Calculator
Integral Calculator
Limit Calculator
Function Grapher

Derivative Calculator

Find derivatives of polynomial, trigonometric, and exponential functions

Use ^ for exponents, * for multiplication, sin(), cos(), exp(), ln()

Integral Calculator

Find antiderivatives and evaluate definite integrals

Limit Calculator

Evaluate limits as x approaches a value

Use 'infinity' for ∞

Function Grapher

Graph functions and visualize calculus concepts

Calculus Concepts

📊

Limits

The foundation of calculus - understanding what happens as variables approach specific values.

lim(x→2) (x²-4)/(x-2) = 4
Learn Limits
📈

Derivatives

Measure instantaneous rates of change and find slopes of tangent lines.

d/dx(x³) = 3x²
Rate of change
Master Derivatives
∫

Integrals

Find areas under curves and solve accumulation problems.

∫ 2x dx = x² + C
Area under curve
Explore Integrals
🔄

Chain Rule

Differentiate composite functions using the chain rule technique.

d/dx[f(g(x))] = f'(g(x))·g'(x)
Learn Chain Rule
🎯

Optimization

Find maximum and minimum values using calculus techniques.

f'(x) = 0 at extrema
Critical points
Optimize Functions
🌊

Applications

Apply calculus to physics, economics, and real-world problems.

v(t) = s'(t)
Physics applications
See Applications

Calculus Learning Path

Master calculus with this structured approach

1

Limits & Continuity

Understand the foundation of calculus

2

Derivatives

Master differentiation rules and techniques

3

Applications of Derivatives

Solve optimization and related rate problems

4

Integrals

Learn integration techniques and applications

5

Fundamental Theorem

Connect derivatives and integrals

6

Advanced Topics

Explore sequences, series, and beyond