Derivative Calculator Pro

The most advanced online derivative calculator with step-by-step solutions and graph visualization.

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Function f(x):

Respect to:

At point (optional):

Multi-variable Function f(x, y, ...):

Differentiate with respect to:

Equation (e.g., f(x,y)=g(x,y)):

Function f(x):

Derivative Order (n-th):

Show Steps & Graph

📊 Result

📝 Step-by-step Solution

📈 Graph Visualization

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🚀 Welcome to the Ultimate Derivative Calculator

Our tool is more than just an answer machine. It's a learning companion designed to provide a detailed, step-by-step breakdown of the process. This approach helps you understand the 'how' and 'why' behind the solution, solidifying your grasp of differentiation rules.

🤔 How to Use This Calculator

Select the Calculator Type: Use the tabs (Standard, Partial, etc.) to choose the differentiation you need.
Enter Your Function: Type the function in the input box. Use ^ for powers (e.g., x^2) and * for multiplication (e.g., 3*x).
Specify Variables: Ensure the variable of differentiation is correct.
Click "Calculate": The result will appear instantly below.
View Details: For a deeper understanding, check the "Show Steps & Graph" box to reveal the full solution and a graph of the function and its derivative.

"Calculus is the most powerful weapon of thought yet devised by the wit of man." - Wallace B. Smith

🔬 What is a Derivative?

At its core, a derivative measures the instantaneous rate of change. Geometrically, it represents the slope of the tangent line to a function's graph at a specific point. This concept is foundational in physics, engineering, economics, and more.

🙋 Frequently Asked Questions (FAQ)

Q1: Is this online derivative calculator free?

Absolutely! Derivative Calculator Pro is 100% free for everyone. If you find it helpful, please consider sharing it with others.

Q2: Does it show steps for all calculations?

Yes! We provide a detailed step-by-step solution for all calculator modes. Just check the "Show Steps & Graph" box to see the breakdown.

Q3: What makes this a "Pro" calculator?

It combines multiple calculators into one sleek interface, provides detailed steps, visualizes results with a graph, and is built on a fast, mobile-first architecture for a smooth user experience.

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Derivative Calculator Pro