Turning Point of a Curve| Calculus | Realitymath
Автор: RealityMath
Загружено: 2025-09-23
Просмотров: 15
Struggling with finding the turning point of y = x^x? In this video, we solve this classic calculus problem step-by-step using logarithms and implicit differentiation. Perfect for A-Level Maths, IB Analysis, and university calculus students!
We start by taking the natural log of both sides to simplify the function, then use implicit differentiation to find the derivative dy/dx. Finally, we set the derivative to zero to find the exact x-coordinate of the turning point. This is a crucial technique for mastering curve sketching and optimization problems.
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Download the worksheet for this problem: [ • Implicit Differentiation| Calculus 1| Real... ]
Next video: Finding the y-coordinate and Nature of the Turning Point
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