Critical Thinking: Students will apply derivatives to analyze and solve complex problems in physics and economics.
Adaptive Perseverance: Students will tackle challenging problems involving derivatives, showing persistence and adaptability.
Global Citizenship: Students will appreciate the applications of derivatives in understanding and solving global challenges, such as economic optimization and environmental modeling.
How does the limit definition of a derivative provide insight into the instantaneous rate of change?
How can the power rule, product rule, quotient rule, chain rule, and implicit differentiation be applied to find derivatives?
In what ways do related rates and rates of change solve real-life problems?
Students will be able to use the limit definition to find the derivative of a function.
Students will be able to find the derivative of functions using various rules.
Students will be able to apply knowledge of derivatives to solve real-life related rates problems.
Find the derivative of a function using the limit definition by various mathematical means.
Apply the derivative to solve real-life related rate problems.
Standards for Calculus sit outside the Common Core Standards for K-12
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