Ask your own question, for FREE!
Mathematics
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
yogirlkaylie: i took dis on thanksgiving
just now 0 Replies 0 Medals
xaviera20: drip?
1 minute ago 9 Replies 0 Medals
stormyfurr: What starts with a P and ends with an E and has a thousand letters?
11 minutes ago 8 Replies 0 Medals
dinonuggets12: anyone got a good camera app that i can use
17 minutes ago 1 Reply 0 Medals
Maddie2005: If eleven plus two equals one, what does nine plus five equal?
13 seconds ago 39 Replies 2 Medals
xxcoffee: Do yall believe in God..Explain y or y not
26 minutes ago 23 Replies 0 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!