Unformatted text preview: f ( x ) = (1cos x ) 2 x , x 6 = 0 , x = 0 Show that f is diﬀerentiable for all x , and ﬁnd f (0). Determine whether or not f is continuous at x = 0. 2. Let f ( x ) = ( x 24 x + 4 , x ≥ 1 ax + b, x < 1 Find values of a and b so that f is diﬀerentiable at x = 1. 3. Find all points on the curve y = 2 sec x + tan x , for 0 ≤ x ≤ 2 π , where the tangent line is horizontal. Use exact values. 4. Find the indicated derivatives. Simplify your answers to a reasonable degree. (a) d dx q cot 2 ( x ) + x 2 (b) d 2 dx 2 [csc x ] 5. Let f ( x ) = ± sin x 1cos x ¶ 2 . Find the equation of the tangent line to the curve y = f ( x ) when x = π 3 . Use exact values....
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 Spring '06
 McAdam
 exact values, x2 dx d2

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