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Math Help - can someone help me with this question

  1. #1
    Newbie
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    Oct 2009
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    can someone help me with this question

    sketch the graph of y =x^4 +3 (done this)
    2. show that y = 4x is a tangent to this curve and find the point of contact
    3. sketch this tangent on your original set of axis
    please someone tell me what to do
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  2. #2
    Super Member redsoxfan325's Avatar
    Joined
    Feb 2009
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    Swampscott, MA
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    943
    Quote Originally Posted by kayla220220 View Post
    sketch the graph of y =x^4 +3 (done this)
    2. show that y = 4x is a tangent to this curve and find the point of contact
    3. sketch this tangent on your original set of axis
    please someone tell me what to do
    Taking the derivative of the function gives us y'=4x^3. Now the line y=4x has slope 4, so we want to find which x will give us y'=4. Solving for x:

    4x^3=4 \implies x=1

    So the point of contact is x=1 (and y=4).
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