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handout_10_19 - Math 1a: Implicit differentiation October...

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Unformatted text preview: Math 1a: Implicit differentiation October 19, 2009 1. Find y if y 5 + x2 y 3 = 1 + yex . 2 2. The equation 2(x2 + y 2 )2 = 25(x2 - y 2 ) gives a curve know as a lemniscate. Find the equation of the tangent line to the lemniscate at (-3, 1). 1 3. Find the derivative of arctan x. 4. Two curves are said to intersect orthogonally if the slopes of their tangent lines are perpendicular at the point of intersection. Show that the curves 2x2 + y 2 = 3 and x = y 2 are orthogonal. 2 ...
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This note was uploaded on 03/27/2012 for the course MATH 1a taught by Professor Benedictgross during the Fall '09 term at Harvard.

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handout_10_19 - Math 1a: Implicit differentiation October...

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