{"type":"video","version":"1.0","html":"<iframe src=\"https://www.loom.com/embed/1fc4988ac3ed4e24a443b6e994b9b61f\" frameborder=\"0\" width=\"1840\" height=\"1380\" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>","height":1380,"width":1840,"provider_name":"Loom","provider_url":"https://www.loom.com","thumbnail_height":1380,"thumbnail_width":1840,"thumbnail_url":"https://cdn.loom.com/sessions/thumbnails/1fc4988ac3ed4e24a443b6e994b9b61f-773a264d3bdbb148.gif","duration":3172.282,"title":"9MA0 Pure Set 10C Year 2 Differentiation","description":"In this video, I walk through differentiation questions, particularly focusing on implicit differentiation and finding gradients of curves. I specifically tackle a curve defined by the equation x = 4 sin 2y, and I demonstrate how to find dy/dx at the origin, arriving at a value of 1/8. Additionally, I explore the relationship between the curve and its tangent line using small angle approximations. I also address a more complex question involving implicit differentiation to find the normal at a given point. Please review the calculations and ensure you understand the processes, as these concepts will be essential for our upcoming assessments."}