Solving Implicit Differential Equations
Learning Objective
I can solve implicit differential equations using differentiation and algebra.
Lesson Flow
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Implicit Differentiation
Professor Dave Explains
Guided Notes
Key concepts students will learn:
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Implicit differentiation is a technique used to find the derivative of functions where one variable is not explicitly expressed in terms of another.
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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.
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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
12 questions • Multiple choice & Short answer
Exit Ticket
“Find dy/dx for the equation x³ + y³ = 6xy. Show all steps.”
Teacher Guide
Get the complete package:
- Answer keys for all questions
- Differentiation strategies
- Extension activities
- Printable student handouts
