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July 23, 2014

July 23, 2014

Posted by **Anonymous** on Tuesday, July 21, 2009 at 8:41am.

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.

thanks

- calculus -
**MathMate**, Tuesday, July 21, 2009 at 9:03amYou 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 -
**MathMate**, Tuesday, July 21, 2009 at 9:04amAddendum:

"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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