Determine if the following function is concave up or down in the first quadrant.
y=4x^3/5

Question

Determine if the following function is concave up or down in the first quadrant.
y=4x^3/5

anonymous · Answer

concave up 

get the second derivative

anonymous · Answer

how do u do it?

anonymous · Answer

it was concave down

amistre64 · Answer

derivatives are a calculus term that lower maths dont have a concept of yet so its important to know what level you are at

anonymous · Answer

$$y=\frac{4}{5}x^3\implies y'=\frac{12}{5}x^2\implies y''=\frac{24}{5}x$$

anonymous · Answer

i don't understand that at all what is this called so i can look it up on youtube?

anonymous · Answer

It follows that$$\frac{24}{5}x>0$$whenever $x>0$.

amistre64 · Answer

prior to calculus, you learn about elementary graphs of even and odd functions

anonymous · Answer

You are being asked this kind of questions and you don't know what it is?

anonymous · Answer

no i dont ... lol im bout to go study it now

anonymous · Answer

Do you know what a derivative is?

anonymous · Answer

well i know the definition but not the math problem

anonymous · Answer

If you know the definition, then you know how to apply it, stretch it, bend it and use it to solve your problems.

anonymous · Answer

do u kno of a way where i can do this on a graphing calculator

anonymous · Answer

It's much tougher to learn how to do this particular problem on a graphing calculator than it is by looking at it for five seconds.

anonymous · Answer

so i cant do it by plugging it into the y= and then trace?

anonymous · Answer