Derivative Calculator

Calculate derivatives of functions with respect to any variable. Supports first, second, and higher-order derivatives.

x² + 3x - 5
sin(x)
e^(2x)
ln(x)
x·cos(x)

Integral Calculator

Calculate definite and indefinite integrals with step-by-step solutions and visualization.

sin(x)
e^x
1/x
cos(2x)

Limit Calculator

Calculate limits of functions as x approaches a specific value or infinity.

Series Calculator

Calculate Taylor series, Fourier series, and power series expansions.

Calculus Concepts Explained

Derivatives

Derivatives measure how a function changes as its input changes. They represent instantaneous rates of change and slopes of tangent lines.

Integrals

Integrals calculate the area under a curve and are the reverse operation of derivatives. Used for accumulation and area calculations.

Limits

Limits describe the behavior of a function as it approaches a particular point. Fundamental to calculus and continuity.

Series

Series represent the sum of sequences and are used for function approximation and solving differential equations.

Step-by-Step Solutions

Our calculator provides detailed step-by-step solutions to help you understand the calculus concepts and methods.

Learning Tool

Perfect for students learning calculus, professionals needing quick calculations, and educators demonstrating concepts.