I like for my Precalculus/IB students to "see" the concept of derivatives of the sine, cosine, e^x, and Ln functions, so I have them use the "calc: dy/dx" functionality of their graphing calculators to help them with the process: they graph the function, and then determine the (approximate) value of the derivative at key points on the curve, which they then recognize to be familiar values: they can "see" that the derivative of the sine is the cosine, and so forth.
Disclaimer: I use an informal approach to limits and derivatives with my students. For instance, if they conjecture that the derivative of the sine is the cosine, we work from there, instead of working with the definition of a derivative, although that does come on a later worksheet!
I use this activity within cooperative groups, and I circulate to make sure they are getting the purpose of the questions.
The file includes spiral review problems.
For this worksheet, I expect students to show their work on a separate sheet of paper.
Please download the pdf preview file first, so you can see exactly what's included; the product file is a word document, which you may personalize for your students.
Keywords: derivatives, derivative, calculus, sin, cos, ln, natural log, Jonnard