Unformatted text preview: The mostmissed point on this problem was that you must plug in a and b into the formula for y . The reason is that the formula y =√ y √ x tells you the slope of the tangent at a given point ( x, y ), but you have to actually pick a point and plug in the values to get the slope at that point. Otherwise the “tangent line equation” which you’ll come up with won’t even be the equation for a line. 2. Let f ( x ) = (1 + sin(cos(sin(2 x )))) 100 . Find f ( x ). Solution: Many applications of chain rule give: 100 · (1+sin(cos(sin(2 x )))) 99 · cos(cos(sin(2 x ))) · (sin(sin(2 x ))) · cos(2 x ) · 2 . 1...
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 Spring '08
 WILKENING
 Math, Calculus, Tangent line equation

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