Question

True/False: There is a function f that has a local minimum at x=1 and a local maximum at x=1.

Answer 1

There are some theorems that can help us with this.

Answer 2

would it be rolle's theorem?

Answer 3

function:
The action for which a person or thing is particularly fitted or employed

Answer 4

never mind its a relationship or expression involving one or more variables.
"the function (bx + c)"

Answer 5

So we know that Rolles theorem says that is f is continous in the closed interval A,B and it's differentiable and f(a)=f(b)
then there must exist a C that belongs in (a,b) / f'(c)=0

Answer 6

yes...it's a function .

Answer 7

its false caz one function can have only one local either maximum or minimum but not both.. i hope u understood :)