alright, ap this week! finally all of our hard work will pay off. haha i can't wait to take the test and stop stressing about it. i am really nervous though... cuz i'm soooooo close to passing, :( oh well, we'll see what happens!
here's some tips for taking the tests:
when given huge word problems with the words, position (original function), velocity, and acceleration. USE YOUR pva CHART!
Position
Velocity
Accelration
when moving down the chart, take the derivative. (derivative - down) when moving up the chart, take the integral. (up - integrate)
what i mean by down is, it will give you a position problem & ask for acceleration => take the derivative TWICE. etc.
also, calculators are very useful. make sure you use them on the calculator portion. there's a reason why it says a calculator is REQUIRED for this part of the test. if you don't use it on EVERY problem, something is wrong.
your calculator can integrate for you, it can find x-intercepts, and it can graph anything. always use itttttt.
alsooooo, a VERY HELPFUL HINT mrs. robinson told me the other day. THIS IS CALCULUS CLASS, you should either be taking the derivative or integrating on EVERY SINGLE PROBLEM. some problems may look easy, and you may say OH i can solve this with basic algebra. but you are wrong. the multiple choice section will even try to trick you like that. but just remember, ALWAYS integrate/derive. you need to be able to figure out which of those to do though
good luck to everyone on wednesday :)
can someone go over concavity/pts of inflection.
you know all that first & second derivative stuff.
THANKS.
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To find points of inflection, take the second derivative of the equation and set it equal to zero. Then set up intervals using the x's you found. Test the intervals by plugging in a number between the interval. If one interval is positive and the next negative or vice versa, there is a point of inflection there. However, if its positive positive or negative negative, there is no change in concavity so that is not a point of inflection.
ReplyDeleteTo find changes in concavity or points of inflection, you have to get to the second derivative. So you take the derivative of the function twice and set it equal to zero. Then solve for your x values. Set those x values up into intervals between negative infinity and infinity. Where there is a change in sign there is a change in concavity and where there is also a sign change is a point of inflection. Hope this helps!
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