need help with matching fcn graphs to deriv. graphs

Here's a hint to get you started.

You know that a derivative is equal to 0 at the extrema(the high and low

points). Take a gander at the graph in d. See how many 'hills and

valleys' it has?.

Now, which corresponding graph crosses the x-axis(y=0) the same number of times?. Would it be III, perhaps?.

Try the others.
 
The derivative of a function gives us the slope of the curve of that function at any given point. Look for the peaks and valleys (as mentioned)...those have a slope of zero and therefore the graph of its derivative should cross the x-axis at that point.

Also look for where the curve of the function is steepest, the corresponding derivative curve will be a high positive or negative value depending on whether the function is increasing or decreasing.

Lastly, look for functions that are not continuous (not a smooth curve). A break in a smooth curve will not have a derivate at that point, therefore, not-continuous.
 
Top