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**Unformatted text preview: **f ( x ) = xe x-2 . Find f , f 00 and f 000 and then guess a form for f ( n ) . 4. (10 pts) Find equations of the tangent lines to the curve y = x-1 x + 1 that are parallel to the line x-2 y = 2. Section 3.3: Derivatives of Trigonometric Functions 5. (4 pts) Show that d dx (sec x ) = sec x tan x. 6. (7 pts) Find f and f 00 , and simplify your results as much as possible, if f ( x ) = sin x 1 + cos x ....

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