lecture21 - Math 006 (Lecture 21) Implicit Differentiation...

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Unformatted text preview: Math 006 (Lecture 21) Implicit Differentiation Example 1. Find the tangent line to the circle x2 + y 2 = 25 at x = 3. Example 2. Find the tangent line(s) to the graph at the point y − xy 2 + x2 + 1 = 0 at the point(s) where x = 1. 1 Example 3. Find (a) dy dy and evaluate at the indicated point. dx dx 1 7 + y 3 − x3 + 4 = 0 at (x, y ) = (2, 9 3 ) (b) x ln y = yex − 1 at (x, y ) = (0, 1). (c) exy − 2x = y + 1 at (x, y ) = (0, 0) 2 ...
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lecture21 - Math 006 (Lecture 21) Implicit Differentiation...

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