Calculus
Quotient Rule - Calculus
Learn the quotient rule with examples, step-by-step guide, and calculator tools. Differentiate quotient of two functions
The quotient rule is a fundamental concept in calculus. Differentiate quotient of two functions. This page provides a comprehensive guide with worked examples and practical applications.
The Formula
\[\frac{d}{dx}\left[\frac{f(x)}{g(x)}\right] = \frac{f'(x)g(x) - f(x)g'(x)}{[g(x)]^2}\]
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[x/sin(x)] = (sin(x) - x cos(x)) / sin²(x)
Example 2
Example 2: (sin(x) - x cos(x)) / sin²(x)
Frequently Asked Questions
What is the quotient rule?
Differentiate quotient of two functions
How do I calculate quotient rule?
Use the formula: \frac{d}{dx}\left[\frac{f(x)}{g(x)}\right] = \frac{f'(x)g(x) - f(x)g'(x)}{[g(x)]^2}. Follow the steps provided above.
What tools can help with quotient rule?
We provide online calculators: calculator