Okay, so, the first half of the week we reviewed for the test on Wednesday. The test, might I add, was beast, I'm not going to lie. :D
But after that, Mrs. Robinson started teaching us how to take the derivative of a graph. I admit, I was pretty confused until she clarified everything on that program. But I don't understand it 100% yet. For some reason, I just couldn't grasp it.
I get which vocab words go with which derivatives:
Original: Increasing, Decreasing, Maximum, and Minimum
First: Positive slope, negative slope, and Horizontal Tangent
Second: Concave Up and Concave down
And the special cases: 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)
But for those, is that what you do? Or only if that is what is asked, do it for those/that derivative? I'm sorry this isn't making much sense, but I'm confusing myself just typing it.
I also understand what most of the vocab translates to.
Increasing: Up [obviously]
Decreasing: Down [obviously]
Concave Up: Bowl shaped to hold water
Concave Down: Umbrella shaped to keep out water
????? Horizontal Tangent: I THINK it's a straight line? I honestly don't remember
????? Derivative above and below the axis: Does this mean that the derivative starts above/below the axis? Or does it always start on the axis, but this means whether it's going up or down?
Sorry it's so confusing, my thoughts are a mess right now. Can someone explain those terms simply for me? Thank you!
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i think i can help you with this:
ReplyDeleteHorizontal tangent is a straight line and it means that the slope at that point is equal to 0.
Derivative above the axis means the graph of the derivative starts above the x axis and then goes through the point you find.
Derivative below the axis means the graph of the derivate starts below the x axis then goes through the point you find.
hope i helped :)
a horizontal tangent is where the slope is equal to 0. That means it is constant.. your right it's basically a straight line in a graph.
ReplyDeleteif the derivative is above the x axis, that means the slope will be positive.
If the derivative is below the x axis then the slope will be negative.
hope this helps!!
i know the horizontal tangent is a straight line for sure and its equal to 0 :)
ReplyDeleteA horizontal tangent is where the slope at thie point is equal to zero. It is a straight line. It happens at like a max or min. So if you have a horizontal tangent on your original then for your first derivative that point would be "brought down" to your x axis (so x=0). Do you kind of get what I'm saying? It's hard for me to explain in words.
ReplyDeletea horizontal line is just a line where the slope=0, because it doesn't rise, but it runs, so the slope would be 1/0, which is = to 0. and all i know about the derivative above/below the axis is that if it's above, the slope will be positive, and if it's below, it will be negative.
ReplyDelete