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Math Help - tangent lines and derivatives...

  1. #1
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    tangent lines and derivatives...

    find the equation of the tangent line to y=ln(x), x=7

    need some help...dont know how to do

    thanks

    mathaction
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  2. #2
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    Quote Originally Posted by mathaction View Post
    find the equation of the tangent line to y=ln(x), x=7mathaction
    This is the most basic application of the derivative. You simply must get this or you REALLY must reconsider your career goals. If you've been skipping class, I recommend you change that behavior. If you're just not getting it, despite your best efforts, you may wish to have a very serious chat with your academic advisor.

    Find the point: (7,ln(7))

    Find the first derivative: y' = 1/x

    Evaluate the derivative at the given point. m = 1/7

    Use the Point-Slope form of a line to write the equation. I'll leave the exercise for you.

    Hint: There is a reason why I called the specific value of the derivative "m".
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  3. #3
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    Quote Originally Posted by mathaction View Post
    find the equation of the tangent line to y=ln(x), x=7
    need some help...dont know how to do
    Why is that?
    Do you know what slope is?
    Do you know how derivative relates to slope?
    What is y'(7)?
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