Calculus
Partial Derivative - Calculus
Learn the partial derivative with examples, step-by-step guide, and calculator tools. Derivative with respect to one variable
The partial derivative is a fundamental concept in calculus. Derivative with respect to one variable. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\frac{\partial f}{\partial x} = \lim_{h \to 0} \frac{f(x+h, y) - f(x, y)}{h}\]
Variables
∂f/∂x
Partial derivative with respect to x
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,y)=x²y, ∂f/∂x = 2xy
Example 2
Example 2: 2xy
Frequently Asked Questions
What is the partial derivative?
Derivative with respect to one variable
How do I calculate partial derivative?
Use the formula: \frac{\partial f}{\partial x} = \lim_{h \to 0} \frac{f(x+h, y) - f(x, y)}{h}. Follow the steps provided above.
What tools can help with partial derivative?
We provide online calculators: calculator