Solving Implicit Differential Equations
Grade 11th Grade · Math · 55 min
What's Included
Learning Objective
I can solve implicit differential equations using differentiation and algebra.
Warm-Up Video
Professor Dave Explains · 11:45
Implicit Differentiation
Guided Notes
3 key concepts
- 1
Implicit differentiation is a technique used to find the derivative of functions where one variable is not explicitly expressed in terms of another.
- 2
When using implicit differentiation, we differentiate both sides of the equation with respect to a variable (typically x) and then solve for y prime, which represents dy/dx.
- 3
When differentiating terms involving 'y' with respect to 'x', it's important to apply the chain rule, treating 'y' as a function of 'x', which introduces a y prime term.
Practice Questions
12 questions · Multiple choice & Short answer
Exit Ticket
Quick comprehension check
“Find dy/dx for the equation x³ + y³ = 6xy. Show all steps.”
Complete Lesson Package
Get all 3 ready-to-use resources:
