t3 - 1 a Find the slope then the equation of the tangent...

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Unformatted text preview: 1. a) Find the slope, then the equation of the tangent line to the curve y x y x xy 3 2 4 + = + at the given point ) 1 , 3 ( . 2. Find ) ( ' x f for the following functions ( two from each group ): GROUP 1: b) x xe x f 5 3 ) (- = c) 3 4 ) 5 ( ) 3 2 ( ) ( + + = x x x f d) x x x f cos ) ( = e) ) 3 sin( ) ( 3 x x x f = f) 2 2 3 2 ) 4 3 ( ) 7 5 ( ) (- + = x x x x f GROUP 3 : l) ) (cos tan ) ( 2 x x f = m) ) sin( ) ( 3 tan x e x f = n) ) 4 3 ( log ) ( 2 6 x x f + = o) ) sin arctan(arc ) ( x x f = GROUP 2: g) ) 2 3 sin( ) ( 3 x x x f- = h) ) 2 3 ln( ) ( 2 2 x x x f- = i) ) 3 ln(sin ) ( 4 x x f = j) 4 3 ) ( + = x e x f k) ) 2 3 ln( ) ( 2 3 x x e x f x- = GROUP 4: Use logarithmic differentiation for this last group. p) ) 2 3 4 )( 4 5 )( 2 3 ( 2 3 2 + + + + = x x x x y q) ) 3 4 ( 2 ) 3 2 ( + + = x x y r) ) 1 )( 4 3 ( ) 4 2 ( 3 5 2 3- + + + = x x x x y s) x x y 10 cos 10- = t) x x e y 2 3 5 + = MATH 1004A Tutorial #3 8 October 2009 Work in small groups (3-4 people). Do NOT divide up the problems and work on them separately. Work together on all problems by sharing insights and difficulties. Ask your TA and instructor if you need help. SOLUTION 1. a) Find the equation of the tangent line to the curve y x y x xy 3 2 4 + = + at the given point ) 1 , 3 ( ....
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This note was uploaded on 03/13/2011 for the course MATH 1004 taught by Professor Dewsef during the Spring '11 term at Carleton.

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t3 - 1 a Find the slope then the equation of the tangent...

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