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anonymous

  • 5 years ago

In the xy-plane, the line x+y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1 what is the value of k?

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  1. anonymous
    • 5 years ago
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    How would one approach this problem

  2. anonymous
    • 5 years ago
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    The derivative of a function represents the tangent line of its curve. This is the key to this problem.

  3. anonymous
    • 5 years ago
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    How would someone apply that concept to the first equation given?

  4. anonymous
    • 5 years ago
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    Or rather how would one set up the problem?

  5. anonymous
    • 5 years ago
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    Well... The question said that the line y=k-x is the tangent of y=x^2+3x+1.. What do you think that means considering the concept I wrote above?

  6. anonymous
    • 5 years ago
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    Y prime of x^2+3x+1 is equal to y= k-x ...?

  7. anonymous
    • 5 years ago
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    Yep!

  8. anonymous
    • 5 years ago
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    Oh !!! I know what I need to do. Thank you so much!

  9. anonymous
    • 5 years ago
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    I am sure you do!!

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spraguer (Moderator)
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