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Math Help - Question regarding tangent lines and derivatives?

  1. #1
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    Question regarding tangent lines and derivatives?

    Hello! I am having some difficulty going about to solve this problem, if anyone can help that would be greatly appreaciated. The question i need help with is number 6.

    Thx in advance!
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  2. #2
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    Quote Originally Posted by Solid8Snake View Post
    Hello! I am having some difficulty going about to solve this problem, if anyone can help that would be greatly appreaciated. The question i need help with is number 6.

    Thx in advance!
    find the equation of the tangent line at (x_0 , e^{x_0}) , then determine the line's x-intercept.
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  3. #3
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    well I still dont really know how to do this problem. The first thing i did was I found the derivative of the function which I believe is (e)^x, but what I'm I suppose to do after that.

    thanks again
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  4. #4
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    1. Determine the slope of the tangent line by using the derivative.

    2. Use the point-slope form of a line to determine an equation for the tangent line. The form I am talking about is y-y_0 = m(x-x_0). You should have values for y_0 and m.

    3. Find the x-intercept of the line. In other words, set y=0 and solve for x.
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