This week in Calculus we reviewed for the exam and took the exam that was hard and easy at the same time. So, instead of reviewing things that i already did..i'm going to go back and explain first derivative test.
Before i explain this i'll say something about the concept that if the origional function graph was decreasing, that its first derivative would be starting below the x axis and if the orgional function graph was increasing, that its first derivative would be starting above the x axis. Also when there is a zero on an origional function graph, the zero will become the maximum or minimum on the first derivative graph, and vice versa.
So, for the first derivative test you must take the derivative and set equal to zero then solve for x. After, you must set up intervals, but you must make note of your endpoints.
First derivative test is very easy and should be a give a way problem on the exams and tests. Remember to take your time and do the problem correctly so you can get the give-a-way problem right instead of wasting your points on something that takes little time and is super easy to do!
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