character: Dr. Emily Chen
topic: Applications of Partial Derivatives in Optimization
grade: 12
subject: Mathematics
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character: Professor Mark Thompson
topic: Understanding Multivariable Optimization Techniques
grade: 12
subject: Mathematics
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character: Ms. Sarah Lopez
topic: Introduction to Calculus: Optimizing Functions with Partial Derivatives
grade: 12
subject: Mathematics
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character: Mr. Daniel Harris
topic: Real-World Applications of Derivatives in Engineering and Economics
grade: 12
subject: Mathematics
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