Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.

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Presentation transcript:

Implicit Differentiation

Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent line to a function defined implicitly at a specified point. Calculate the equation of the tangent line to a function defined implicitly at a specified point.

Example 1 Find for

Example 2 Find for

Example 3 Find for

Example 4 Find for

Example 5 Find the equation of the tangent line to the curve at the point (1, 1)

Example 6 Find the equation of the tangent line to the curve at x = 2