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📚 Logarithmic Differentiation with Examples
In this video, you’ll learn how to use logarithmic differentiation to find derivatives of functions that are too complex for standard rules. This method is especially useful when the function involves products, quotients, or exponents where both the base and exponent depend on x.

🔍 What You’ll Learn in This Video:
✅ Steps for Logarithmic Differentiation
✔ Take the natural logarithm of both sides
✔ Use logarithm laws to simplify
✔ Differentiate both sides with respect to x
✔ Solve for dy/dx and substitute back the original function

✅ Worked Examples
✔ Example 1: y = x(x² + 1) / √(x+1)
✔ Example 2: y = x^(sin x)

By the end of this video, you’ll know how to apply logarithmic differentiation to break down complicated functions and simplify the differentiation process.

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Understand The Math offers clear, accessible, and engaging mathematics instruction for students and lifelong learners. I'm Cheryl Hile, the founder of Understand The Math, with a Ph.D. in Engineering Science and Applied Mathematics and over 25 years of university teaching experience. My goal is to provide accurate, high-quality math instruction through step-by-step explanations and carefully worked-out examples.

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