Calculus
Sum Rule for Derivatives - Calculus
Learn the sum rule for derivatives with examples, step-by-step guide, and calculator tools. Derivative of sum is sum of derivatives
The sum rule for derivatives is a fundamental concept in calculus. Derivative of sum is sum of derivatives. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\frac{d}{dx}[f(x) + g(x)] = f'(x) + g'(x)\]
Variables
f(x), g(x)
Functions
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 + x³) = 2x + 3x²
Example 2
Example 2: 2x + 3x²
Frequently Asked Questions
What is the sum rule for derivatives?
Derivative of sum is sum of derivatives
How do I calculate sum rule for derivatives?
Use the formula: \frac{d}{dx}[f(x) + g(x)] = f'(x) + g'(x). Follow the steps provided above.
What tools can help with sum rule for derivatives?
We provide online calculators: calculator