Concavity

Concavity
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  • Hello all you math super stars! I'm glad you all decided to show up today! Today we are going to talk about concavity.
  • Concavity is pretty simple so for example take the function f(x)=(x^3)+2x and find f''(x). Everyone in here should know how to take a derivative that's elementary math. So after you find f''(x) find the zeros. So f''(x)=6x and the zeros would be x=0 (because you set 6x=0 and solve for x)
  • Guys stop talking you're being so rude my 4th period acts better than you! Ok so after you find the zeros make a sign chart. So for this example you would draw a line and put zero in the middle. Then pick a number greater than and less than zero and plug both numbers into the equation and see if they come out positive or negative. If f''(x)>0 then f(x) is concave up. If f''(x)<0 then f(x) is concave down.
  • See it's very easy so let's do some practice in your books!
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