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help needed!!!
how would you go about drawing the graph of a functions derivative, if the original function is unknown. IE only the graph if F(x) is given but not the equation.


  • calculus -

    You could construct the tangent at different points, and if the graph is free of kinks and vertical asymptotes, you can join the different points to get a graph of the derivative.
    A kink will imply a discontinuity in the derivative, and a vertical asymptote will mean the same thing in the derivative.
    I hope this just about covers most situations.

  • calculus -

    "You could construct the tangent at different points..."
    should read:
    "You could construct and plot the magnitude of the tangents at different points..."

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