1st and 2nd Derivative Test! (Calculus 1)

This lesson is over the 1st and 2nd Derivative Test, a method that can help one graph a function using only the derivatives of the original function. Using these two tests, one can create an accurate graph of any function.

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Hi there! This lesson is about the 1st and 2nd Derivative Test, a method in calculus that can be used to draw any graph. The 1st Derivative Test can find critical points and where the function is increasing/decreasing, while the 2nd Derivative Test can find the inflection points and concavity of the function. Combining these two tests yields the graph of any function! Subscribe today if you need help in your math classes, need a refresher, or just want more entertaining math tutorials!

0:00 1st Derivative Test
0:22 Monotone Function Theorem
0:59 Sign Chart
1:33 Example 1
8:25 Example 2
11:45 2nd Derivative Test
11:59 Quick derivative review
12:28 Rules for 2nd Dertivative Test
13:41 2nd Derivative Test
14:06 Concavity Useful Graph
14:34 Example
21:10 Outro