Derivative implicit functions
Implicit differentiation PowerPoint lesson that contrasts explicit and implicit functions, sets out the steps, and works through examples such as x² + y² = 4 and x³ + y³ − 9xy = 0.
- Grades
- Grade 12
- File type
- Microsoft PowerPoint
- Use
- Digital activity
- Subject
- Math
- Topic
- Calculus, Diffrentiation
- Resource types
- Lesson Plans
- Use
- Digital activity
From the author
About this resource
PowerPoint presentation, 15 slides explaining how to differentiate implicit functions
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Teaching tips & learning objectives
Learning objectives
Differentiate implicitly defined equations with respect to x
Apply the product rule within implicit differentiation
Find the slope of a tangent and the equation of a normal line on an implicit curve
Skills covered
Step-by-step differentiation — following worked solutions for equations like x³ sin y + y = 4x + 3
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Resource details
Concepts & topics
Core concepts
Core concepts
Implicit differentiation
Product rule
Tangent line
Topics
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