This past week in calculus we started off just reviewing for the test which I now feel better about than before. Then after the test on Wednesday, we started to learn derivative graphs and vocabulary for the graphs. It was a relief to finally take the test on derivatives and start to learn something new. I do not know how much longer I could have taken learning what we were learning anymore.
Reviewing for the test Wednesday on Monday and Tuesday I think was a big help to me. Even though I did study the test was still not easy even with the reviewing and studying. It was just refreshed in my head and fixed the problems I had before the test. An example is getting most of the formulas down packed into my head. There were many I did not know before then.
Also, we learned about how to get the derivative of graphs. This started off a tad confusing but I soon after figured it out and realized that it was not complicated at all. Mainly all that has to be done is use the vocabulary to get the derivative of the graph. An example is if the graph is increasing then the slope is positive and if the graph is decreasing the slope is negative.
The only thing I really have a problem with is remembering which vocabulary words go with the original function, first derivative, or second derivative. If anyone has any way that helps them remember which goes with which I would appreciate if you would let me know how you do it.
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Original goes with Increasing, Decreasing, Maximum, and Minimum
ReplyDeleteFirst Derivative goes with Positive slope, negative slope, and Horizontal Tangent
Second Derivative goes with Concave Up and Concave down
And the rest>>Derivative above axis ( positive slope and concave up), Derivative below axis (negative slope, and concave down), and Zero of derivative (horizontal tangent, and negative slope)
there's really no simple way..it's just..that!
i was really confused with that too, but i found the exercise we did today in class really helped explain them and remember them.
ReplyDeleteIncreasing, decreasing, maximum, and min are all for the original function.
Positive slope, negative slope, and horizontal tangent, are for the first derivative
concave up, concave down, and point of inflection are for the second derivative
Derivative above axis, derivative below axis apply to both the first and second derivative
Just try to memorize what goes with what
ReplyDeleteMake flashcards with the function it goes to and the definition/an example?
It can help keep track of which ones you really need help with