Calculus AB/BC - Connecting a Function, Its First Derivative, and Its Second Derivative

Uncover what the first and second derivatives reveal about the function. Pupils move beyond sketching graphs to determine what derivatives tell about the function itself. The video reminds learners about particle motion and how to determine whether the particle is speeding up or slowing down based on the first and second derivatives. Given a function table, scholars find out whether a function is increasing or decreasing and its concavity before putting their skills to work with provided worksheets.