Well I would do specific problems from the ap test like I have been doing, but I left my binder in my locker so I guess I will just review.
Alright here are some things that keep popping up, but we just forget.
LIMIT RULES:
1. top degree is larger than the bottom degree-->the limit approaches infinity
2. bottom degree is larger than the top degree-->the limit approaches zero
3. and if the top and bottom degree are equal-->then you make a fraction out of the coefficients
FIRST DERIVATIVE TEST:
deals with increasing and decreasing/max and mins
1. derivative of the function
2. solve for x values which are critical values
3. make those numbers into intervals between -ve infinity and infinity
4. when seeing if +ve or -ve plug those numbers into the derivative
5. if -ve it is decreasing and +ve it is increasing, changing from -ve to to positive you have a min and going from +ve to -ve you have a max, absolute maxs and minx deal with the highest and lowest value
SECOND DERIVATIVE TEST:
deals with concave up and down/points of inflection
1. take the derivative of the function twice
2. set equal to 0 and solve for x (these are not really critical values, more like points of interest)
3. set up intervals just like the first derivative test
4. plug in also like the first derivative test but plug into the second derivative
5. -ve is concave down and +ve is concave up, points of inflection is where the concavity changes like going from -ve to +ve
EQUATION OF A TANGENT LINE:
1. take the derivative
2. plug in x value
3. if not given a y value, plug into the original equation to get the y value
4. then plug those numbers into point slope form: y − y1 = m(x − x1)
5. *if wanting the normal line, the slope is just the reciprocal
AND slope field stuff:
I'm just going to review how to draw it.
positive slopes is /
negative slope is \
for a zero slope is a horizontal line
for an undefined slope is a vertical line
Well I would just like to say that I made a six on the calculator part, and yes I'm still happy about that. But I am having trouble on the non calculator part. Something that I do need help on is e integration and ln integration. Thankssss
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Can you give an exact problem from an AP or somewhere? That way it can be explained fully.
ReplyDeletelikewise, i had a lot of trouble with ln and e integration. I always just skipped those problems on every ap test. But those are actually the easiest ones to do.
ReplyDeleteThe integral of e^u is simply just e^u + C
For example, Se^5x = 1/5e^5x + C
Now for ln integration:
First you must recognize it. ln integration takes place when the derivative of the bottom is the top part of the fraction.
Example:
S(2x + 5)/(x^2 + 5x)
=ln|x^2 + 6x| + C