3.3.9-eg-1 - x for which f x =-3 or where 2 x-2 =-3 Solving for x it follows that 2 x =-3 2 =-1 or x =-1 2 The answer is x =-1 2.

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Example Let f ( x ) = x 2 - 2 x . At which value of x is the tangent line to the curve y = f ( x ) parallel to the line y = - 3 x + 1? Solution: The line y = - 3 x +1 has slope m = - 3. The slope of the tangent line to the curve y = f ( x ) has slope f 0 ( x ), where f 0 ( x ) = 2 x - 2 . So the problem is to find the value of
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Unformatted text preview: x for which f ( x ) =-3, or where 2 x-2 =-3 . Solving for x it follows that 2 x =-3 + 2 =-1 , or x =-1 2 . The answer is x =-1 2 ....
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This note was uploaded on 04/02/2012 for the course MTH 132 taught by Professor Kihyunhyun during the Fall '10 term at Michigan State University.

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