mean value theorem
nounDefinition of mean value theorem
1
: a theorem in differential calculus: if a function of one variable is continuous on a closed interval and differentiable on the interval minus its endpoints there is at least one point where the derivative of the function is equal to the slope of the line joining the endpoints of the curve representing the function on the interval
2
: a theorem in integral calculus: if a function of one variable is continuous on a closed interval and differentiable on the interval minus its endpoints, there is at least one point in the interval where the product of the value of the function and the length of the interval is equal to the integral of the function over the interval
Keep scrolling for more
Test Your Vocabulary
Summer 2019 Words of the Day Quiz

 Which is a synonym of desideratum?
Can you spell these 10 commonly misspelled words?
TAKE THE QUIZTest Your Knowledge  and learn some interesting things along the way.
TAKE THE QUIZLove words? Need even more definitions?
MerriamWebster unabridged
Words at Play
Ask the Editors
Word Games
Share mean value theorem
Resources for mean value theorem