Reference: Stewart 14.4 • Chapter: 14 • Section: 4
Navigation: Wiki Home > Skills > Linear Approximations
Linear Approximations
Chapter 14.4: Tangent Planes and Linear Approximations | Course: MATH241 | Difficulty: Intermediate | Time: ~25 min
Overview
This skill covers the following topics from Stewart Calculus Stewart 14.4:
- L(x,y) ≈ f(a,b) + fx(x-a) + fy(y-b)
- Differentials
Why This Matters
Understanding linear approximations is essential for mastering tangent planes and linear approximations.
Prerequisites
Before learning this skill, you should be comfortable with:
Key Concepts
Concept 1
Concept 2
Worked Examples
Example 1
Example 2
Common Mistakes
Practice Problems
Guided Practice
Independent Practice
Self-Assessment
Check Your Understanding
- Can you explain the main concept in your own words?
- Can you work through the examples without looking at the solution?
- Can you identify when to use this technique?
What's Next?
After mastering this skill, you'll be ready for: