Calculus Made Simple: Differentiate PV = 100 (Find dP/dV at V=100

Описание: Mathematics can feel tricky sometimes, especially when calculus enters the stage. But truth be told, calculus is simply the study of change. In this video, we take a classic problem that looks tough at first glance but can actually be understood step by step when explained clearly. The problem says:

Given that PV = 100, find dP/dV when V = 100.

Now, when you first see this, it might look confusing. Why is P multiplied by V? What does dP/dV even mean? But if you slow down and think about it, you’ll see that this is the type of problem that teaches us about relationships between quantities. Here, P and V are connected through the equation PV = 100. Anytime one changes, the other responds. That’s exactly what calculus is designed to measure — how one variable reacts when another shifts.

In many science and engineering applications, equations like this appear often. For instance, in physics, gas laws show how pressure and volume interact. In economics, price and demand can behave in similar ways. That’s why learning how to handle this kind of question is not just about passing an exam; it’s about understanding the real world through numbers.

In this lesson, I explained it step by step in Pidgin English, so even those in underdeveloped communities can relate. My mission as InstructorAlison is to make sure no student feels left behind, no matter where they come from. I believe mathematics should be simple, friendly, and accessible to everyone.

After watching, I encourage you to think about the problem yourself, share your attempt in the comments, and spread the knowledge. Don’t just keep it to yourself — like, save, share, and follow for more lessons that make complex problems simple.

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