Sect_3_5_Implicit - (3, 7 ) . There are two ways we can do...

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Section 3.5 – Implicit Differentiation Sometimes y is not written as an explicit function of x but y is an implied function of x. Consider the equation of the circle x 2 + y 2 = 16 What implied functions are within this one equation? Suppose I want to find the slope of the tangent line to the circle at the point
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Unformatted text preview: (3, 7 ) . There are two ways we can do this. Method A Find an explicit function and use the chain rule to find the derivative. Method B Use implicit differentiation to find the derivative. Examples: Find dy dx given cos x + y = 5 Find dy dx given 1 + x = sin( xy 2 )...
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This note was uploaded on 11/08/2011 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.

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