Derivatives Using Limits
Grade 12 · Math · 39 min
What's Included
Learning Objective
I can calculate the derivative of a function using limits.
Warm-Up Video
Professor Dave Explains · 10:05
What is a Derivative? Deriving the Power Rule
Guided Notes
3 key concepts
- 1
The derivative of a function tells us about the rate of change in that function at a particular input value.
- 2
The slope of the secant line is rise over run, or f(x) minus f(a) over x minus A; the slope of the tangent line will be the slope of this secant line in the limit of x approaching A.
- 3
The power rule states that the derivative of xⁿ is equal to n times x^(n-1).
Practice Questions
4 questions · Multiple choice & Short answer
Exit Ticket
Quick comprehension check
“Use limits to find the derivative of f(x) = 3x² + 2x. Show all steps.”
Complete Lesson Package
Get all 3 ready-to-use resources:
Teacher GuideComplete lesson plan
Student DocPrintable student handouts
SlidesReady-to-use presentation
