anonymous
  • anonymous
If given a graph of a function's derivative, f'(x), that is defined only between 0 and c. How could I determine the absolute maximum and minimum values as well as the local and max and min values. At x=0: the function starts high up on the y axis At x=a: the function crosses the x axis from positive to negative At x=b: the function goes from negative to 0, but never becomes positive. At x=c: the function continues to dip down Thank you
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Looks like from the description of the x values, that your absolute max would be at x=0, your local max would be at x=a, local min would be at x=b and your absolute min would be at x=c. This is assuming that the values are from f`(x). When using real numbers, finding where the derivative is 0 or does not exist will give you points where the slope is 0 and possible critical points for min/max. You can use these numbers, plus the bounds of the interval at which you are looking in the original function to determine the y values, thus giving you your abs min/max and local min/max.
anonymous
  • anonymous
Thank you for your reply, but I am curious as to why x=0 would be the absolute max. And yes the function I described was f'(x), sorry for forgetting to specify that. Since f'(x) starts by decreasing from the y-axis until it hits 0 at point a, wouldn't that make a the local and absolute max?

Looking for something else?

Not the answer you are looking for? Search for more explanations.