In this video I go over a very useful example on using the implicit differentiation method for determining the derivative of an equation of a circle without having to explicitly solve for the functions of the semicircles of the circle.

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Implicit Differentiation: Example on Equation of a Circle

Example

(a) If x² + y² = 25, find dy/dx

(b) Find an equation of the tangent line to the above equation of a circle at the point (3, 4)

Solution