What an interesting week...a pepper spray incident resulting in a short 3rd hour and eventually a shorter school day on Monday. It was a very odd way to start the week, but hey! it was very exciting! What great fun!
We started the u substitution this week and it started out a little shaky for me. U substitution is used to find the anti-derivative of composite function. The steps are:
1) Identify U
2) Find du/dx and make it equal to something in the integral so you can substitute
3) Plug in u and substitute so you can du to dx
4) Anti-differentiate (add 1 to the power and divide by the power)
5) Plug the inside function (u) into to find f(x)
DON’T FORGET +C
I watched the video over the weekend and kind of got it but totally understood it when Mr. Cresswell went over it during class. I flew through the homework and felt pretty confident with it.
The mini quiz we took went pretty well. The only thing I got really wrong was finding the second derivative of whatever we had to find. I found the first one no problem but I thought it was ok to carry the squared over to the next derivative instead of doing the Chain Rule. I also forgot that 3x is a function…stupid mistake lol. But now I understand why I got what I got wrong wrong.
We also learned about implicit differentiation this week. It sounds really scary but I really don’t think it is. All you have to do is follow these four easy steps:
1) Differentiate both sides with respect to x
2) Collect terms with dy/dx
3) Factor out dy/dx
4) Solve for dy/dx
See, not too bad. It can take a long time for one problem and you really have to concentrate. But it is all good for right now.
We also learned about higher order of derivatives. Also, sounds bad but really isn’t. You basically do implicit differentiation and then take the derivative of that, but when you have the dy/dx thing, YOU ALREADY KNOW WHAT IT IS AND YOU CAN JUST SUBSTITUTE DY/DX INTO THAT AND THEN SIMPLIFY!
This week wasn’t too bad but everything really requires a lot of attention and concentration.
We started the u substitution this week and it started out a little shaky for me. U substitution is used to find the anti-derivative of composite function. The steps are:
1) Identify U
2) Find du/dx and make it equal to something in the integral so you can substitute
3) Plug in u and substitute so you can du to dx
4) Anti-differentiate (add 1 to the power and divide by the power)
5) Plug the inside function (u) into to find f(x)
DON’T FORGET +C
I watched the video over the weekend and kind of got it but totally understood it when Mr. Cresswell went over it during class. I flew through the homework and felt pretty confident with it.
The mini quiz we took went pretty well. The only thing I got really wrong was finding the second derivative of whatever we had to find. I found the first one no problem but I thought it was ok to carry the squared over to the next derivative instead of doing the Chain Rule. I also forgot that 3x is a function…stupid mistake lol. But now I understand why I got what I got wrong wrong.
We also learned about implicit differentiation this week. It sounds really scary but I really don’t think it is. All you have to do is follow these four easy steps:
1) Differentiate both sides with respect to x
2) Collect terms with dy/dx
3) Factor out dy/dx
4) Solve for dy/dx
See, not too bad. It can take a long time for one problem and you really have to concentrate. But it is all good for right now.
We also learned about higher order of derivatives. Also, sounds bad but really isn’t. You basically do implicit differentiation and then take the derivative of that, but when you have the dy/dx thing, YOU ALREADY KNOW WHAT IT IS AND YOU CAN JUST SUBSTITUTE DY/DX INTO THAT AND THEN SIMPLIFY!
This week wasn’t too bad but everything really requires a lot of attention and concentration.