Question

what is a point of inflection? - Calc 1

Answer 1

The point of inflection is where a a function changes concavity.

Answer 2

so in this equation could you explain it please
\[f(x)=\frac{x^2+7}{x+5}\]

Answer 3

Look for roots of the second derivative.

Answer 4

im not sure what that means

Answer 5

Differentiate twice to get the second derivative.
Then find where the second derivative becomes 0.

Answer 6

Since the point of inflection are when concavity changes, and concavity is based on whether the second derivative is >0 or <0, that makes \(f''(x)=0\) a good candidate.

Answer 7

got it

Answer 8

wiat so its the relitve minumum?