The Maths Prof: Rates of Change, Derivatives (Part 2)

Опубликовано: 05 Сентябрь 2026
на канале: The Maths Prof
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'A point moves along a curve y=8/(7-2x). As it passes through the point P, the x-coordinate is increasing at a rate of 0.125 units per second and the y-coordinate is increasing at a rate of 0.08 units per second. Find the possible x-coordinates of P.'
Other lessons that you may find useful can be found below 👇 You can also find a playlist on my main page which covers all topics of the differentiation chapter in Cambridge AS Pure Maths 1 😄
🌟 Differentiation    • The Maths Prof: Differentiation  
🌟 Finding Gradient of Tangent (Differentiation)    • The Maths Prof: Finding Gradient of Tangen...  
🌟 Finding Coordinates From Gradient (Differentiation)    • The Maths Prof: Finding Coordinates From G...  
🌟 Finding Equations of Tangents (Differentiation)    • The Maths Prof: Finding Equations of Tange...  
🌟 Finding Equation of Normal to Curve (Differentiation)    • The Maths Prof: Finding Equation of Normal...  
🌟 Differentiation Problem Solving (Find the values of a & b...)    • The Maths Prof: Differentiation Problem So...  
🌟 Differentiation Chain Rule e.g y=(3x-2)⁴    • The Maths Prof: Differentiation Chain Rule...  
🌟 Finding Second Derivatives d²y/dx² and f''(x)    • The Maths Prof: Finding Second Derivatives...  
🌟 Finding Second Derivatives Part 2 (chain rule differentiation)    • The Maths Prof: Finding Second Derivatives...  
I hope that you find the lesson useful. Subscribe to my YouTube channel to stay up to date with new uploads and follow me on Instagram @themathsprof for more maths! :-)