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Math Help - Graph question, please help

  1. #1
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    Graph question, please help

    Consider function to be g(x);



    a) Find the values by observing the slope of tangent line to curve graphically:
    a) g ' (-1) b) g ' (0) c) g ' (0.5) d) g ' (1)

    b) use the four points found in a to sketch graph of g ' (x)

    Any nudge in the right direction would be greatly appreciated!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by boousaf View Post
    Consider function to be g(x);



    a) Find the values by observing the slope of tangent line to curve graphically:
    a) g ' (-1) b) g ' (0) c) g ' (0.5) d) g ' (1)

    b) use the four points found in a to sketch graph of g ' (x)

    Any nudge in the right direction would be greatly appreciated!
    i hate problems like these. the graphs are never accurate enough to do what they ask you to. just imagine a straight line being drawn at each of the points in the direction the curve is moving. we want to estimate the slope of such a line

    these are what the values seem like to me g'(-1) = 2 or matbe 1.5, g'(0) = -1, g'(0.5) = g'(-0.5) = 0, g'(1) = 2 or maybe 1.5

    for (b), note that since we have an x^3 graph, the derivative will be an x^2 graph. so just draw one that passes roughly through those points and you're good
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