Ask your own question, for FREE!
Mathematics 32 Online
OpenStudy (anonymous):

What does it mean If f''>0 for all x in an interval

OpenStudy (shadowfiend):

Well, f'' is the second derivative. The second derivative is the derivative of the first derivative. The first derivative describes how fast the base function (f) is changing at a given point. The second derivative describes how fast the derivative is changing. If f'' > 0 for all x in an interval, that means the first derivative is increasing for that interval, which means that the rate of change of f is constantly increasing in that interval. Does that help?

OpenStudy (anonymous):

Simplifying the previous answer somewhat, f'' describes concavity. When f'' is positive, the curve is concave up (like a smile). When f'' is negative, the curve is concave down (like a frown).

OpenStudy (anonymous):

thanks a lot

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
Midnight97: A little bit of an update on my OC
1 hour ago 1 Reply 0 Medals
Countless7Echos: ik i'm late but finished ToT added some details :p
3 hours ago 3 Replies 0 Medals
Grimson: What's your new years resolution.
14 hours ago 1 Reply 1 Medal
LemmyluvsGelo: Why be sad when you could js be Gone . ud83dudd7a
4 hours ago 5 Replies 2 Medals
Ferrari: anyone have insta??
1 hour ago 24 Replies 3 Medals
xXAikoXx: I made art
19 hours ago 6 Replies 3 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!