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Derivative Calculator

Calculate derivatives of functions with step-by-step solutions. Supports polynomials, trigonometric, exponential, and logarithmic functions.

Enter Your Function

Type your mathematical function using standard notation. Example: x^2 + 3*x + sin(x)

$$f(x) = x^2 + 3x + 5$$

First Derivative

f'(x) or dy/dx

Second Derivative

f''(x) or d²y/dx²

Nth Derivative

fⁿ(x)

Partial Derivative

∂f/∂x

Quick Examples:

x² + 3x + 5 → 2x + 3
sin(x) + cos(x) → cos(x) - sin(x)
eˣ · x² → eˣ(x² + 2x)
ln(x²) → 2/x

Features of Our Derivative Calculator

Step-by-Step Solutions

Get detailed explanations of each step in the differentiation process for better understanding.

Multiple Function Types

Supports polynomials, trigonometric, exponential, logarithmic, and rational functions.

Visual Graphs

See graphical representation of the original function and its derivative for better insight.

Multiple Derivatives

Calculate first, second, nth derivatives, and partial derivatives with ease.

Learning Tool

Perfect for students learning calculus - understand the rules and applications.

Mobile Friendly

Works perfectly on all devices - desktop, tablet, or mobile phone.