hw6 - tangent line to the curve at the point(2 1(Recall...

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Math 2250 HW #6 Due 1:25 PM Friday, September 23 Reading: Hass § 3.4–3.5 Problems: Do the assignment “HW6” on WebWork. In addition, write up solutions to the following two problems and hand in your solutions in class on Friday. 1. Let s = t 2 t + 1 Using the definition of the derivative (i.e. no quotient rule, no power rule), compute ds dt . 2. Consider the curve y = x 3 - 4 x + 1. (a) Find an equation for the line perpendicular to the curve (i.e., perpendicular to the
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Unformatted text preview: tangent line to the curve) at the point (2 , 1). (Recall that perpendicular lines have negative reciprocal slopes.) (b) Considering all points on the curve, which has the tangent line with the smallest slope? (c) Find the equations for the tangent lines to the curve at all points where the slope of the tangent line is 8. 1...
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This note was uploaded on 01/18/2012 for the course MATH 2250 taught by Professor Chestkofsky during the Fall '08 term at UGA.

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