SOLUTION: Let f(x)=x2+x+14. What is the value of f(x) for which the tangent line to the graph of y=f(x) is parallel to the x -axis? f(x)=

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Question 563344: Let f(x)=x2+x+14. What is the value of f(x) for which the tangent line to the graph of y=f(x) is parallel to the x -axis?
f(x)=

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let f(x)=x^2+x+14. What is the value of f(x) for which the tangent line to the graph of y=f(x) is parallel to the x -axis?
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f(x)=x^2+x+14
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slope = 2x+1
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Parallel to the x-axis means slope = 0.
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2x+1 = 0
x = -1/2
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Cheers,
Stan H.
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