Going the Distance...Going for Speed (Calculus)
Calling all inventors and engineers!
Introduction
Understanding how things move, whether designing a thrilling (but safe) water slide or the world’s most complicated Rube Goldberg machine, is critical for success. Dive into the world of derivatives to see how calculus drives motion in our world.
Essential Questions
 How are derivatives defined and calculated in functions?
 Why would the chain, product, or quotient rule be chosen for use in finding a derivative of a particular function?
 How is differentiation used to solve various kinds of problems?
 Why are derivatives helpful in solving optimization and related rates problems?
 What is the Mean Value Theorem and how can it be applied in realworld scenarios?
Learning Objectives
Students will be able to…

Derivatives of Exponential Functions

Derivatives of Inverse Trigonometric Functions

Derivatives of Logarithmic Functions

Derivatives of Polynomials

Derivatives of Radical Functions

Derivatives of Rational Functions

Derivatives of Trigonometric Functions

Finding Derivatives Using the Chain Rule

Finding Derivatives Using the Product Rule

Finding Derivatives Using the Quotient Rule

Extreme Value Theorem

L’Hospital’s Rule

Local Linearity and Approximation

Mean Value Theorem

Solving Optimization Problems

Solving Related Rates Problems

Using Differentiation to Solve Motion Problems