OML Search

Tangents and Stationary Points to Implicit Curves

Related Topics:
More Lessons for A Level Maths
Math Worksheets



Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths.

How to find tangents and stationary points to implicit curves?

Finding Tangents to Implicit Curves
Examples:
Find the equation of the tangent to the curve y2 - 2xy = 3x2 at x = 1, given y > 0.
Finding Stationary Points to Implicit Curves
Examples:
Find the coordinates of the stationary points for the curve x2 - 4xy = y2 - 20.



Nature of Stationary Points to an implicit curve
A-Level Edexcel C4 January 2009 Q1(b)
Worked solution to this question on implicit differentiation and curves
Example:
A curve C has the equation y2 – 3y = x3 + 8.
(a) Find dy/dx in terms of x and y.
(b) Hence find the gradient of C at the point where y = 3

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines