Calculus
Product Rule - Calculus
Learn the product rule with examples, step-by-step guide, and calculator tools. Differentiate product of two functions
The product rule is a fundamental concept in calculus. Differentiate product of two functions. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\frac{d}{dx}[f(x)g(x)] = f'(x)g(x) + f(x)g'(x)\]
Variables
f(x), g(x)
Functions
f'(x), g'(x)
Derivatives
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: [] → d/dx[x² × sin(x)] = 2x × sin(x) + x² × cos(x)
Example 2
Example 2: 2x sin(x) + x² cos(x)
Frequently Asked Questions
What is the product rule?
Differentiate product of two functions
How do I calculate product rule?
Use the formula: \frac{d}{dx}[f(x)g(x)] = f'(x)g(x) + f(x)g'(x). Follow the steps provided above.
What tools can help with product rule?
We provide online calculators: calculator