Скачать или смотреть The Product Rule: Easy Derivatives for Multiplication!

Master the Product Rule in Calculus with Mario's Math Tutoring! This video breaks down one of the most essential differentiation rules, showing you a clear and practical way to take the derivative of two quantities multiplied together. If you're tackling derivatives in algebra or calculus, this tutorial is for you!

We'll define the product rule (U'V + UV') and then immediately jump into multiple examples to solidify your understanding. Learn how to apply the rule to functions like 5x * sin(x), 7x² * cos(x), and even more complex polynomial multiplications. Discover why it's not always necessary to simplify first and how this rule can streamline your derivative calculations. Get ready to ace your calculus class!

Timestamps:

0:00 Introduction to the Product Rule in Calculus
0:15 Defining the Product Rule (U'V + UV')
0:45 Example 1: Derivative of 5x * sin(x)
1:30 Understanding the Flexibility of the Rule
1:55 Example 2: Derivative of 7x² * cos(x)
2:45 Memorizing Key Derivatives (sin, cos)
3:15 Example 3: Derivative of (2x² + 3x) * (5x + 1)
3:45 When to Apply the Product Rule (vs. Simplifying First)
4:20 Step-by-Step Application with Polynomials

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