MRS ROBINSON: sorry this is late! my internet went out last friday night when that bad storm passed through & my dad fixed it last night, but then i went to do my blog & it said i needed to "enable cookies on my browser" to go to blogger.com. so i just did it during 4th hour.. sorry!
Product rule is used when anything two things are being multiplied together.Product rule states copy the first times the derivative of the second + copy the second times the derivative of the first or uv' + vu'
Chain rule is used when you are finding the derivative with exponents. To do chain rule, work from the outside in.
Ln Integration is only used with fractions and when the top is the derivative of the bottom
To find the equation of a normal line, find the perpendicular slope and plug into the point slope formula. First step is to take the derivative and plug in x to find the slope. Now take the negative reciprocal. Since you are given a point and now have your slope, just plug in.
The terms for the First Derivative Test:
1. Increasing
2. Decreasing
3. Horizontal Tangent
4. Min/Max
linearization:
1. Pick out the equation
2. f(x)+f`(x)dx
3. Figure out your dx
4. Figure out your x
5. Plug in everything you get
can someone go over slope field for me? i don't remember all the little numbers you add together to figure out which way the lines are going to face. that's probably hard to understand how i described it, but try your best. haha :)
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For slope fields basically it will give you dy/dx...then you will just take each point and write it out...for instance
ReplyDelete(2,0) (1,0)
(2,1) (1,1)
(2,2) (1,2)
Or whatever points it asks for...then you will find the dy/dx value for each one of those points, using the (x,y) coordinates correctly.
Then you will put a slant line on those points to mimic that slope...so a slope of 1 is just a / that's perfect...a slope of 2 is one that is more steep...one that is 1/2 is a more...slow slope?
use the points and using the x,y coordinates put a slant line of the points to act like the number that u got from the coordinates.
ReplyDeletethey give you a function, and you plug in the x and y values from each point into the function to get a number, if the number is positive, it the slope will look like this / if the number is negative, the slope will look like this \ and that's it
ReplyDeleteOnly one thing to add that no one else mentioned: if you get zero, the line is straight through the point like this -
ReplyDelete