Tangents and Stationary Points to Implicit Curves
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More Lessons for A Level Maths
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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
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.
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.
Examples:
Find the coordinates of the stationary points for the curve x2 - 4xy = y2 - 20.
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.
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