Implicit Differentiation
What is implicit differentiation?
Applications of Implicit Differentiation
What type of problems could involve implicit differentiation?
- Broadly speaking there are three types of problem that could involve implicit differentiation
- algebraic problems involving graphs, derivatives, tangents, normals, etc
How do I apply implicit differentiation to algebraic problems?
Exam Tip
Worked Example
a) Find the exact coordinates of the points where the normal to curve C has gradient 2.
b) Find the equations of the tangents to the curve that are
(i) parallel to the x-axis
(ii) parallel to the y-axis.
How do I apply implicit differentiation to optimisation problems?
when finding the location of minimum and maximum problems
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- there is not necessarily a turning point
- the minimum or maximum could be at the start or end of a given or appropriate interval
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Exam Tip
Worked Example
