This week in Ap Calc we learned about slope field and separable differential equations. Overall I found myself to understand these two concepts pretty well. Slope fields is basically just substituting in number and solving or their output. Once you have the output you just have to draw a line with that slope on the corresponding coordinates on the graph. This concept is pretty simple the most important thing to remember is which way the lines go for positive and negative slope. This is a useful concept because it can help you see the shape of the graph just by looking at the slopes.

This week in Ap Calc we also learned about separable differential equations. When solving these types of problems the first step is to use basic algebra skills to get y and dy on the same side and dx and x on the same side. Once you have done this you need to integrate both sides and then solve the equation for C. Then you write the final answer is the anti-derivative with the C value plugged in. The most important thing to remember in this type of problem is the +C because if you forget the +C when originally integrating you will have trouble getting to the final answer.

]]>This week in Ap Calc we also learned about separable differential equations. When solving these types of problems the first step is to use basic algebra skills to get y and dy on the same side and dx and x on the same side. Once you have done this you need to integrate both sides and then solve the equation for C. Then you write the final answer is the anti-derivative with the C value plugged in. The most important thing to remember in this type of problem is the +C because if you forget the +C when originally integrating you will have trouble getting to the final answer.

Last week we also started learning about the disk and washer method. The washer method is only used if when rotated around the axis there is a hole formed. Otherwise the disk method should be used. I tend to understand the disk method pretty well because its based off of the area function but the washer method confuses me a lot. One of the main problems I have is my struggle to visualize 3D shapes. This has been an obstacle for me in the section because the visualization.

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I think 7.1 does a good job of combining what we have already done all together because it uses the skills we learned in chapter 5 with the applications of derivatives with the integral work we learned in chapter six. Due to my prior knowledge with integrals I feel I have a very good understanding of solving word problems involving velocity.

This week in ap calc we also learned how to find the area between two curves this also made a lot of sense based on the addition and subtraction rules of integrals. The most challenging part is figuring out what equation is the upper equation but this is pretty easy if you use your graphing calculator to look at the graphs.

Overall I felt really good about all the things we covered in class this week. ]]>

This week in ap Calc we learned about derivatives of inverses of trigonometric functions and derivatives of exponential logarithms. Overall I found the trigonometric assignment relatively easy because it was just identifying U and then plugging u into the formula. This was pretty easy because we have identified u when doing the chain rule and implicit differentiation so I'm pretty familiar with identifying U. However I found the exponential logarithms semi difficult simply because I have always struggled with the rules of logarithms. So i'm trying to remember the rules for logarithms from the past years and trying to apply them to derivatives at the same time.

This week we have also been working on the chapter three review assignment to prepare for the test next Wednesday. Overall I have found that I have a pretty good understanding of most of the things covered in chapter 3 individually however I struggle a little but when applying multiple of the concepts together the same time. I have also found that I know how to set up the problem but the problem is so difficult that the simplifying process is messing me up causing me to get the wrong answer. Overall even though at first I struggled a lot in chapter three I think I have a pretty good understanding of all the concepts and should be able to do semi decent on the test on Wednesday.

]]>This week we have also been working on the chapter three review assignment to prepare for the test next Wednesday. Overall I have found that I have a pretty good understanding of most of the things covered in chapter 3 individually however I struggle a little but when applying multiple of the concepts together the same time. I have also found that I know how to set up the problem but the problem is so difficult that the simplifying process is messing me up causing me to get the wrong answer. Overall even though at first I struggled a lot in chapter three I think I have a pretty good understanding of all the concepts and should be able to do semi decent on the test on Wednesday.

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This week we also learned about derivative rules and how to find the anti derivative. Overall I understand a majority of the rules however I got very confused when I attempted to do the anti derive worksheet and I could not find the anti derive material in the book to help me. I also don’t understand how to find the slope of the tangent. I know how to plug in the points but then I get confused and don’t know how to finish the problem. I am hoping that now that Golf is finished and I’m actually in class things will start to make sense.

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