I am having a difficult time understanding the graph of the slope of the derivative. Can someone explain?

Question

e.mccormick · Answer

When you take a derivative, you get the slope at that very moment as a number.  That number can be graphed.  That is where you get the graphs of the slopes as the graph of a derivative.

loser66 · Answer

@reg9676 particular problem, please

e.mccormick · Answer

Now, you said, "the graph of the slope of the derivative"  Well, the "slope of the derivative" is the second derivative.  Not sure if you meant it that way or not.

anonymous · Answer

Okay, but the text book I am using gives the function curve and asks to select the graph of the slope from several choices. How to pick which is the correct one?

e.mccormick · Answer

Find the derivative, graph it.  That is one way.  The other is through logical evaluation.

anonymous · Answer

Logical evaluation is the problem.

e.mccormick · Answer

Lets take a random curve.|dw:1369337492456:dw|

e.mccormick · Answer

Now, at any min or max, the slope is 0.  Any place it is going up. the slope is a positive value.  Any place it is going down it is a negative value.

e.mccormick · Answer

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