This week we are going to continue learning how to find the area under curves as well as practice some cumulative review. You will have a quiz over sections 5.1 - 5.2 on Wednesday. Last week we talked about the two branches of calculus. For your post, I'd like you to describe the two branches of calculus and why they are important.
P.S. Don't worry about watching the video to the right. We are going to watch it together in class this week.
The first part of calculus is differential calculus. This is used to find the slope of a line at a certain x-value. An application of this is the ability to find maximums and minimums of a function. The second part is integral calculus and is used to find the area between a curve and the x-axis. This is useful for finding distance traveled over a certain amount of time, if you know speed and time.
ReplyDeleteThe two main sectors of calculus are differential and integral. Differential calculus has to do with finding slopes of tangent lines at any value of x. This is helpful in position/ time problems as well as optimization and related rates. Integral calculus is about finding the area under the curve. This helps you find distance traveled on a distance/time graph.
ReplyDeleteThe first branch is differential. We can find the slop of tangent line by using differential calculus. It helps to find velocity and acceleration of function. The second branch is integral. We are learning how to find the area under the curve by using integral calculus. When you use integral, you can find the area of curve shape easily.
ReplyDeleteDifferential calculus and Integral calculus are the two different types. Differential calculus can be used to find maximums, minimums, tangent lines, concavity, etc, while integral calculus deals with finding the areas under curves and can be used to find distance over a period of time.
ReplyDeleteThe two branches of calculus are differential calculus and integral calculus. First, differential calculus is finding the slope of tangent line. We can find function of position, velocity and acceleration. Second, integral calculus is finding the area. we can use the area under the curve. So we can find distance because the area and distance are same.
ReplyDeleteThe two different branches of Calculus are differential and integral. Differential Calculus deals with finding slopes of tangent lines (the derivative of a function) and apply this to many different real world examples such as finding velocity and acceleration,Integral Calculus deals with finding "area under the curve". An application for Integral Calc is finding distance traveled when time and speed are provided.
ReplyDeleteCalculus has two different branches, Integral and Differential Calculus. Integral Calculus has to do with finding the area under the curve by using geometric shapes or formulas. The area under the curve is equivalent to the distance traveled and can be applied to real world applications. Differential Calculus is finding the derivative of a function or the slope of a tangent line at a particular x-value. You can apply this in finding velocity and acceleration.
ReplyDeleteThe two branches of Calculus are Integral and Differential. Integral Calculus is about finding the area under the curve of not only constant functions but functions that are not constant. Differential Calculus is about finding the derivative, or slope, of a function. Integral Calculus is important because it can help find the rate at which a car travels over a distance in a certain amount of time when the car is not going at a constant rate. Differential Calculus is important because you can find the velocity (first derivative), acceleration (second derivative), or speed (absolute value of the second derivative).
ReplyDeleteThe two branches of Calculus are Integral and Differential. They are quite different but they do overlap some. Integral calculus is used to find the area under the curve. This can be used practically, to find distance traveled over time when looking at a velocity/time graph. When we learned differential calculus, it could be used to find rates of change and particular instants in time or the slope of a function at a specific x-value. We used this to look at the relationships between position, velocity and acceleration and comparing two rates. Differential calculus also included learning limits which will become useful again as we continue to study integral calculus.
ReplyDeleteDifferential calculus deals with the rates at which functions change. It is how you find the rate at an exact point. This is useful for finding out acceleration of a car at a certain time or how how much the volume is decreasing in a leaky water tank.
ReplyDeleteIntegral calculus deals with finding the area under functions. It is very useful for finding things like distance traveled when the velocity is not constant.