ex2_6401

ex2_6401 - y = 2 1+ x 2 at the point (a) P = (1 , 1); (b) Q...

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Problem Sheet 2 for 6401 Due Monday 27 Oct 2008, at the Problem Class 1. Differentiate the following functions (a) f ( x ) = 7 e sin( x 2 ) +3 x tan(cos x ) ; (b) f ( x ) = ± 3 x 2 +7 arcsin x +arctan x ² 3 ; (c) f ( x ) = [(1 + 1 /x ) - 1 + 1] - 1 . 2. Find the equation of the tangent line to the graph of
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Unformatted text preview: y = 2 1+ x 2 at the point (a) P = (1 , 1); (b) Q = (0 , 2). 3. Find the maximal and minimal values of f ( x ) = 5-6 x 2-2 x 3 on [-3 , 1]. 4. Find the critical values of g ( x ) = ( x 2-1) e x . 1...
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