So this week we did more ap tests. We did a non calculator portion and a calculator portion just like we did last week. Only this time we couldn't get points for making corrections. I was worried because last time on the calculator portion I made a zero. I ended up getting lucky and I got an 8 and a ten on the tests. Tomorrow we have the slope field short answer problem. These are supposed to be really easy and they're the kind of short answer we want to see on the real ap.
On the non-calculator portion, we had things like limits as x goes to infinity, definition of derivatives, equations of tangent lines, linearization, integrals and slope fields. On the calculator portion, I guessed mostly. I’m still not very good with my calculator yet and what it can do for me.
Infinity rules:
1. If the degree of the top is greater than the degree of the bottom, then the limit is going to infinity.
2. If the degree at the top is less than the degree at the bottom, then the limit is going to zero.
3. If the degree of the top is the same as the degree of the bottom, set the coefficients to a fraction.
For definitions of derivatives they may not always give you an exact definition. If they do not, you have to take an abstract derivative. An abstract derivative is a derivative taken about an equation made up.
For equations of tangent lines, you need two points (x,y) and a slope. If these aren’t given to you, you need to find them. To find them, you set your equation equal to zero and find x and y. To find slope, take the first derivative, plug in your x and/or y values and solve. After you have this done, plug into point-slope form, and you’ll have your equation of a tangent line.
Linerization is really easy, you do all the same steps at tangent lines, except you plug in the decimal they give you into x and solve giving you a number.
I always think slope fields are tricky, but they’ve shown to be easy. I don’t know w hat my problem is.
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slope fields. All you have to do to create a slope field is just simply find the slope at each point and draw a tick mark demonstrating said slope at the point. After you do this for all points you have then created your slope field.
ReplyDeleteSlope fields are actually pretty easy. You basically just connect the dots (or lines in this case). Just follow the lines where they "point" to. Usually straight lines indicate an asymptote.
ReplyDeleteyou plug in your points to the equation and from you awnser you make a hash mark over that point.
ReplyDeleteOkay, so for slope fields, everyone already said that you make a mark, right?
ReplyDeleteWell, this is how you make the marks
a slanted down to the right is negative
a slanted down to the left is positive
and a straight line is when it's zero.
I hope this helps!