SUNY Geneseo Department of Mathematics

Derivative Definition Discussion

Math 221 02
Fall 2020
Prof. Doug Baldwin

This discussion reinforces your understanding of the limit definition of derivatives. It is based on section 3.1 in our textbook.

Using the limit definition of the derivative, try to find the derivatives of the following functions at the given places. Post on your thoughts about at least one of the derivatives; posts can be questions, comments on others’ ideas, etc. as well as answers. How you got answers is more important than what the answers are. Please post by class time on Monday, September 21.

f′(1) where

\[f(x) = x^2 + 2\]

g′(2) where

\[g(t) = \frac{3}{2t}\]

h′(0) where

\[h(x) = \sqrt{x-1}\]