Calculus
Power Rule for Derivatives - Calculus
Learn the power rule for derivatives with examples, step-by-step guide, and calculator tools. Differentiate power functions
The power rule for derivatives is a fundamental concept in calculus. Differentiate power functions. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\frac{d}{dx}(x^n) = nx^{n-1}\]
Variables
n
Exponent
x
Variable
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: [3] → d/dx(x³) = 3x²
Example 2
Example 2: 3x²
Frequently Asked Questions
What is the power rule for derivatives?
Differentiate power functions
How do I calculate power rule for derivatives?
Use the formula: \frac{d}{dx}(x^n) = nx^{n-1}. Follow the steps provided above.
What tools can help with power rule for derivatives?
We provide online calculators: calculator