Question

The function's value will always be greater than or equal to the local linear approximation of a function f if, for all x in an interval containing the point of tangency
f " > 0

f " < 0

f ' > 0

f ' < 0

Answer 1

The function's value will always be greater when the function is concave up.

Answer 2

When doing linear approximations.

Answer 3

So when is a function concave up? It is when the second derivative is greater than 0.

Answer 4

so f">0 correct?

Answer 5

Yup!

Answer 6

Thank you!

Answer 7

You're welcome :)