The Mean Value Theorem & Rolle's Theorem | Calculus 1 | Math with Professor V

[@majedalkafaji8592]

Thanks

[@bopheloseforwe422]

you really the best

[@mathwithprofessorv]

Thank you so much 🥹🥹

[@red-sv2qf]

7:34 how is the function differentiable on (0, 2) if the derivative is undefined at x = 0?

[@mathwithprofessorv]

We require differentiability on the open interval, meaning it doesn’t need to be differentiable on the endpoints. 👍🏻

[@red-sv2qf]

@@mathwithprofessorv Thank you so much!

[@user-john.s]

Open interval (0,2) doesn't contain 0.

[@milkman4297]

5:00 i thought if it wasnt a polynominal it couldnt be continious?

[@milkman4297]

nwm i just checked my calculator any number that was negative was an error to which i presume all positive numbers work with a fractional power

[@mathwithprofessorv]

Polynomials are continuous on all real numbers since that is their domain; other functions are typically continuous on their domains which may include restrictions. This is an important theorem covered in Calculus 1 when studying continuity.