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Math Help - Finding the eq. of tangent line to this curve..

  1. #1
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    Finding the eq. of tangent line to this curve..

    Hi! I'm struggling with this problem
    Find an equation of the tangent line to the curve
    at the point (1, 8).
    I am stuck because while I'm solving this, I keep getting 0/0.
    How would you solve this problem?
    Thanks!
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  2. #2
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    Re: Finding the eq. of tangent line to this curve..

    1. Find the differentiated function.
    2. put in the (x,y) in the f'(x).
    3. write the slope-pt form.
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  3. #3
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    Re: Finding the eq. of tangent line to this curve..

    Rewrite as y = 8x^{-\frac{1}{2}}.


    \frac{dy}{dx} = -4x^{-\frac{3}{2}}. At the point (1,8), \frac{dy}{dx} = -4.


    Write the equation of the tangent line in point-slope form: y - 8 = -4(x-1).
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