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Unformatted text preview: + 3) ]( x 2 + 4)( x 2 + 4) 3 (2 x ) ( x 2 + 4) 2 = = [3(2 x + 3) 2 (2)]( x 2 + 4)( x 2 + 4) 3 (2 x ) ( x 2 + 4) 2 ± 62. Proof. First we need y : y =3 (3 x 2 + 1) 3 = (3) · (3 x 2 + 1)3 y = (3)[(3)(3 x 2 + 1)31 (3 x 2 + 1) ] = (3)[(3)(3 x 2 + 1)4 (6 x )] Simplify: y = 54 (3 x 2 + 1) 4 Now we can ﬁnd the slope of the tangent line by plugging in x = 0: slope = 54 (3 · 2 + 1) 4 = 54 1 4 = 54 SOLUTIONS CHAPTER 12.6 3 Having the slope and the point (0 ,3) we get for the equation of the tangent line using pointslope formula y(3) = 54( x0) ±...
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 Spring '08
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 Math, Calculus, Derivative, dy dy dz

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