Students find out when the slope of a tangent line is parallel to the secant line passing through the endpoints of an interval to help them find the values of c guaranteed to exist by the Mean Value Theorem.
https://education.ti.com/en/activity/detail/somewhere-in-the-middle
Students will derive the derivative of the function y = ex, work with the derivative of both y = eu and y = ax, and look at the tangent to the graph of y = ex. In the process, the students will have to find the limit as h approaches 0 of (eh?1)/ h. https://education.ti.com/en/activity/detail/the-exponential-derivative
Students explore the concept of finding the volume of a solid formed by cross sections of a function that form certain shapes. https://education.ti.com/en/activity/detail/volume-by-cross-sections
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