Graphing and Finding Tangent Lines of Quadratic Functions - Derivatives Help

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The discussion centers on finding tangent lines to the parabolas represented by the equations y = x^2 and y = -x^2 + 6x - 5. The original poster has graphed the functions and calculated their derivatives, but seeks confirmation on their approach and assistance with the problem. Participants express uncertainty about the correctness of the poster's method due to a lack of detailed information. The conversation highlights the need for clear steps in solving the problem and encourages collaboration for better understanding. Overall, the thread emphasizes the importance of verifying calculations and seeking help in mathematical problem-solving.
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I was having some trouble with a problem. The problem reads:
Sketch the graphs of y = x^2 and y = -x^2+6x-5, and sketch the two lines that are tangent to both graphs. Find equations of these lines.

I've graphed the two parabolas and drew the tangent lines. I've found the derivatives of each equation as well. I relabeled the points where the tangent line is tangent on each of the parabolas using Xsub1 and Xsub2. Am I going about doing this the correct way? Can someone give me a little help, thanks.

-Paul
 

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What you are saying you are doing is correct. Since haven't actuall shown what you did, I can't say whether you are doing it correctly.
 
anyone can help me with that problem ? i dunt know how to do it !
 

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