The Maths Prof: Find equation of a curve from dy/dx & a point (x,y) (integration)
In this lesson I show you how to integrate to find the equation of a curve when given dy/dx and a point (x,y) on the curve. The question used for my example: "A curve is such that dy/dx = 1/⎷(x-2) , and (3,7) is a point on the curve. Find the equation of the curve." To try one yourself skip to 4:05 (solution posted at the bottom of this text). More Integration lessons coming soon! 😄
Other related lessons that you may find useful can be found below 👇
🌟 Integration (Part 1) • The Maths Prof: Integration (part 1)
🌟 Integration (Part 2) • The Maths Prof: Integration (part 2)
🌟 Integration of (ax+b)ⁿ • The Maths Prof: Integration of (ax+b)ⁿ
🌟 Find y in terms of x when given dy/dx (integration) • The Maths Prof: Find y in terms of x ...
🌟 Find f(x) in terms of x when given f'(x) (integration) • The Maths Prof: Find f(x) in terms of...
🌟 Find equation of a curve from dy/dx & a point (x,y) (integration) • The Maths Prof: Find equation of a cu...
🌟 Differentiation • The Maths Prof: Differentiation
🌟 AS Level Differentiation EXAM QUESTIONS • The Maths Prof: AS Level Differentiat...
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! :-)
(Solution to question at 4:05 y=(1/3)(2x+5)^3/2 - 7)