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Differentiate Implicit Equations

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A Level Maths
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Examples, solutions. videos, activities, and worksheets that are suitable for A Level Maths to help students learn how to differentiate implicit equations.

Differentiation: Implicit Equations
In this tutorial you are introduced to implicit differentiation.
Examples:
x3 - 5y4 = 7x2 - 3y + 6
differentiate with respect to x.
Differentiation : Implicit Equations (Using the Product Rule)
The product rule is used in this example
Example:
Find dy/dx for 5x - 3x2y4 = 2y - x3 + 1



A-Level Maths Edexcel C4 June 2008 Q4
A curve has equation 3x2 – y2 + xy = 4. The points P and Q lie on the curve. The gradient of the tangent to the curve is 8/3 at P and at Q.
(a) Use implicit differentiation to show that y – 2x = 0 at P and at Q.
(b) Find the coordinates of P and Q

A-Level Maths Edexcel C4 June 2008 Q4a
This question is on implicit differentiation.
A-Level Maths Edexcel C4 June 2008 Q4b

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