The easiest examples of calculus to understand are those involving derivatives. Derivatives are simply combinations of an object and a constant. An integrated derivative is one which includes all the derivatives that are dependent upon an underlying time variable. An example of this would be a function which takes the value of a certain rate at time t, when it is plotted on a graph with date t plus date z.
Here are some examples of real life derivatives that you may encounter in your calculus class. Let us say that the derivative of a function is the rate at which it is changing, expressed as a negative number. We can plot this as a graph, using the definition given above. If we want to plot the derivative at different times, we can use the graph of the normal function
One example of derivatives is the integral of a function at a particular time. This can be done by plotting the integral over the x-axis, as shown below. If we plot the integral of a normal curve, we will see that it looks like a U shape. The reason for this is that the slope of the tangent line is equal to the critical points that define the tangent on the horizontal and vertical axes.
A second example of calculus comes from someone asking how long it takes for light to travel through one degree of air. The answer they get is about 4 seconds for distance traveling along the x-axis, and about 7 milliseconds for traveling through a point on the y-axis. These are the so-called imaginary solutions to the equation of elastic deformation. When someone asks about these solutions in real life, they are talking about the corresponding Lagrange points, which must be plotted on a graph to show their relationship.
A third example of calculus in real life comes from someone wanting to know how much food and water can be carried by a vehicle traveling at one mile per hour. This can be written as G(s), where G is the distance traveled in a given amount of time, and S is the weight of everything carrying that weight. By dividing both sides by the speed at which the vehicle is traveling, we get the formula used in engineering to calculate the rate at which fluids are heated. The formula is also used in aviation and when wings are designed for maximum lift.
There are many more examples of calculus in real life, each providing valuable insight into what can be done using the formula. In a world where GPS systems, satellites, and even computers are starting to become an everyday part of our lives, the knowledge of how to calculate the derivatives of functions is indispensable. Even if we don’t have to use it in our everyday lives, it’s a good idea to have a working knowledge of its uses. It could save your life someday!
So where can you find examples of calculus in real life? There are tons of online resources available, so if you’re looking for an easy way to understand it or just want to learn more about it in general, these are a great place to start. You can also buy the textbooks you need to learn about it in most schools, so don’t hesitate to ask your teacher if they have any examples they can show you. With so many examples of calculus in real life, there’s no reason not to be able to understand it in a reasonable amount of time.
