Calculus
Derivative Definition - Calculus
Learn the derivative definition with examples, step-by-step guide, and calculator tools. Fundamental definition of derivative
The derivative definition is a fundamental concept in calculus. Fundamental definition of derivative. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}\]
Variables
f'(x)
Derivative
h
Small change
Step-by-Step Guide
- 1
Step 1: Gather your data values
- 2
Step 2: Apply the formula
- 3
Step 3: Perform the calculations
- 4
Step 4: Interpret the result
Examples
Example 1
Example 1: [] → For f(x)=x², f'(x) = 2x
Example 2
Example 2: 2x
Frequently Asked Questions
What is the derivative definition?
Fundamental definition of derivative
How do I calculate derivative definition?
Use the formula: f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}. Follow the steps provided above.
What tools can help with derivative definition?
We provide online calculators: calculator