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Unformatted text preview: tan x sec x . Find f ( x ) and each xvalue for which the graph of f has a horizontal tangent line. 13 ex. A 60 foot ±agpole casts a shadow that changes with the sun’s elevation. If y is the length of the shadow and ± is the angle cast by the sun, ﬂnd the rate at which the length of the shadow is changing with respect to ± when ± = … 4 . 6¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ¡ ± 14 Try these!! 1. Evaluate the limits: (a) lim x ! sin 3 x tan 3 x (b) lim x ! 1 ¡ cos x x 2 (c) lim x ! 2 sin( x ¡ 2) x 2 + x ¡ 6 (d) lim x ! … 2 cos x x ¡ … 2 (Use a substitution, trig identity) 2. Find the equation of the tangent line to f ( x ) = e x sec x at x = 0. 3. Find each point at which f ( x ) = cos x 2 + sin x has a horizontal tangent line on the interval [0 ; 2 … ]....
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 Spring '08
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 Calculus, Geometry

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