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Find the value of k if the line y = x + k is tangent to the graph of y = x^2.

 Sep 1, 2021
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The first derivative is the slope of a curve at any point along it and is tangent to the curve at that point.  

 

The first derivative of y = x2 is 2x   so in order to satisfy y = x + k, then k would equal x.  That is x + x = 2x. 

 Sep 1, 2021

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