The Derivative as a Function: Apply It

  • Find the derivative of a function
  • Draw the derivative’s graph using the original function’s graph
  • Explain what it means for a function to be differentiable and how this is connected to being continuous
  • Calculate derivatives beyond the first order

City Transportation Calculus: Analyzing Motion and Planning

As a transportation engineer in a growing city, you’re tasked with analyzing various aspects of movement and planning using calculus. Your insights will help improve traffic flow, design safer roads, and optimize public transportation. Let’s explore how derivatives and their graphs can aid in understanding and solving real-world transportation challenges.