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Chapter 3 42 - 192 33(a CHAPTER 3 DIFFERENTIATION RULES...

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Unformatted text preview: 192 33. (a) CHAPTER 3 DIFFERENTIATION RULES 3x2—6w+2 ()y 2(2y3—3y27y—I-1) => 3; lat (0,1) and y’ 2 % at (O, 2). Equations of the tangent lines are y = —m + 1 and y : in: + 2. (c) y’:0 => 3x2—6$+2=0 :> w =1i§-\/§ There are eight points with horizontal tangents: four at x z 1.57735 and four at a: z 0.42265. (d) By multiplying the right side of the equation by a: — 3. we obtain the first graph. By modifying the equation in other ways, we can generate the other graphs. 4 5 O *2 I 6 l5 *3 Mf—®@*% : 23(30 # 1)(a: 7 2) [email protected]—m : m(w # 1)(m2 — 2) ...
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