Rates and Derivatives
Learning Objectives: -Calculate the slope of a secant line given a function, table of function values, or graph of a function. -Describe the slope of the secant line as the average rate of change, difference quotient, and average velocity. -Calculate the average rate of change of a function involving a real-world scenario, including cost, revenue, profit, and position. -Interpret the meaning of the average rate of change of a function involving a real-world scenario, including cost, revenue, and profit. -Interpret the slope of the tangent line as the limit of slopes of secant lines. -Describe the slope of a tangent line as the instantaneous rate of change (rate of change), limit of the difference quotient, and instantaneous velocity (velocity). -Estimate the slope of a tangent line by computing the limit of slopes of secant lines given a function, table of function values, or graph of a function. -Calculate the slope of a tangent line using the limit definition of the instantaneous rate of change. -Find the equation of a tangent line using the limit definition of the instantaneous rate of change. -Calculate the instantaneous rate of change of a function involving a real-world scenario, including cost, revenue, profit, and position, using the limit definition of the instantaneous rate of change -Interpret the meaning of the instantaneous rate of change of a function involving a real-world scenario, including cost, revenue, and profit.
Document information
- Uploaded on
- February 24, 2025
- Number of pages
- 4
- Written in
- 2024/2025
- Type
- Class notes
- Professor(s)
- Nasr
- Contains
- Calculus i
