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Calculus
Unit 1
Calculus
Limits and Continuity
Derivatives
Applications of Derivatives
Integrals
Applications of Integrals
Unit 2
Calculus
Limits and Continuity
Derivatives
Applications of Derivatives
Integrals
Applications of Integrals
Unit 3
Calculus
Limits and Continuity
Derivatives
Applications of Derivatives
Integrals
Applications of Integrals
Unit 2 • Chapter 3
Applications of Derivatives
Summary
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Concept Check
What is the application of derivatives in economics?
Integration in economics equations.
Estimating population growth with derivatives.
Solving partial differential equations.
Optimization of profit and revenue.
How are derivatives used in physics?
Calculating wave functions.
Analyzing quantum mechanics.
Modeling weather patterns.
Describing rates of change and motion.
What is a common application of derivatives in biology?
Modeling population growth and decay.
Studying genetic inheritance.
Analyzing cell metabolism.
Predicting evolutionary patterns.
In engineering, derivatives are utilized for?
Optimizing design and efficiency.
Developing artificial intelligence algorithms.
Creating new chemical compounds.
Solving fluid dynamics equations.
How does computer science benefit from derivatives?
Developing blockchain technology.
Improving algorithms and computational efficiency.
Creating virtual reality environments.
Programming autonomous robots.
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Integrals