Applications of the Derivative Homework Help Resources

In this activity, students will dynamically explore a particular solution to a differential equation for different initial conditions. Slope fields are investigated. Self-check multiple-choice questions help students build the foundation for the DE matching activity. Students will check their solutions by running a slope field program. A teacher-lead extension involves the use of the deSolve command.

In this activity, students will observe a simulation of a record breaking bungee jump, consider a mathematical model of the height as a function of time, and take the derivative to determine points of interest like the minimum height, maximum velocity, acceleration, and maximum jerk. Students will algebraically, numerically, graphically and verbally investigate higher order derivatives.

In this activity, students will graphically investigate the Fundamental Theorem of Calculus and properties of definite integrals. Self-check questions engage students and deepen understanding of the topic. Multiple choice exam-like questions are also included.

In this activity, students will investigate the derivative of exponential functions. For ex, students will explore the slope of the tangent graphically and use CAS functionality to discover the chain rule for exponential functions. Similarly, ax is explored graphically and CAS functionality is used to discover the rule.

In this activity, students are introduced to the topic or related rates. The process is explained and dynamic visuals are provided. Self-check multiple choice questions help students build understanding and put what they learned into practice with homework or extension questions.