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Lessons on Implicit Differentiation

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How to answer questions on implicit differentiation?

Differentiation - Implicit Differentiation (C4 Maths A-Level)
Examples:
1. Find dy/dx in terms of x and y where x3 + x + y3 + 3y = 6.
2. Find the value of dy/dx at the point (1,1) where 4xy2 + 6x2/y = 10.
3. Find the value of dy/dx at the point (1,1) where e2xlny = x + y -2
Implicit Differentiation
Edexcel Core Maths C4 June 2012 Q5(a)
The curve C has equation 16y3 + 9x2y - 54x = 0
(a) Find dy/dx in terms of x and y.



Implicit Differentiation Exam Style Question
Example:
A curve has the equation
x2(2 + y) - y2 = 0
Find an expression for dy/dx in terms of x and y.
Core 4 - Implicit Differentiation
Introduction (Gradient of implicitly defined functions)


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