Calculus Calculators

Master calculus with our comprehensive collection of calculators. Solve derivatives, integrals, limits, and more with step-by-step solutions.

Derivative Calculator

Calculate derivatives of functions

Find the derivative of any function with step-by-step solutions. Supports polynomial, trigonometric, exponential, and logarithmic functions.

Calculate Derivatives

Integral Calculator

Calculate definite and indefinite integrals

Solve integrals with step-by-step solutions. Supports various integration techniques including substitution, parts, and partial fractions.

Calculate Integrals

Limit Calculator

Calculate limits of functions

Find limits of functions as they approach specific values or infinity. Includes L'Hôpital's rule and other limit techniques.

Calculate Limits

Series Calculator

Calculate infinite series and sequences

Analyze infinite series for convergence or divergence. Calculate sums of geometric, arithmetic, and power series.

Calculate Series

Taylor Series Calculator

Generate Taylor and Maclaurin series

Find Taylor and Maclaurin series expansions of functions. Approximate functions using polynomial series.

Calculate Taylor Series

Partial Derivative Calculator

Calculate partial derivatives

Find partial derivatives of multivariable functions. Essential for vector calculus and optimization problems.

Calculate Partial Derivatives

Differential Equation Calculator

Solve differential equations

Solve first-order and second-order differential equations. Find general and particular solutions.

Solve Differential Equations

Area Under Curve Calculator

Calculate area between curves

Find the area between curves, under curves, and bounded regions. Visualize and calculate areas using integration.

Calculate Areas

Critical Points Calculator

Find critical points and extrema

Identify critical points, local maxima, minima, and saddle points. Essential for optimization problems.

Find Critical Points

About Calculus

What is Calculus?

Calculus is a branch of mathematics that deals with continuous change. It consists of two main parts: differential calculus (concerned with rates of change and slopes of curves) and integral calculus (concerned with accumulation of quantities and areas under curves).

Key Concepts

  • Derivatives: Measure rates of change and slopes of tangent lines
  • Integrals: Calculate areas, volumes, and accumulated quantities
  • Limits: Understand behavior of functions as they approach specific values
  • Series: Represent functions as infinite sums
  • Differential Equations: Model dynamic systems and relationships

Applications

  • Physics: Motion, forces, and energy calculations
  • Engineering: Optimization, control systems, and design
  • Economics: Marginal analysis and optimization
  • Biology: Population growth and chemical reactions
  • Computer Science: Algorithms and machine learning

Why Use Our Calculators?

  • Step-by-step solutions: Learn the process, not just the answer
  • Multiple methods: See different approaches to solving problems
  • Visual explanations: Understand concepts through graphs and diagrams
  • Error checking: Verify your work and catch mistakes
  • Educational tool: Perfect for students and self-study