MVT

Units & Measurements abbreviation · Math

MVT
Stands forMean value theorem
CategoriesUnits & Measurements

MVT stands for Mean value theorem, a math abbreviation.

States that a function continuous on [a, b] and differentiable on (a, b) has at least one point where the instantaneous rate of change equals the average rate of change over the interval.

Example: If a car travels 120 miles in 2 hours, the MVT guarantees that at some moment its speed was exactly 60 mph.

Usage notes

Rolle's theorem is the special case where f(a) = f(b), giving a point with zero derivative. The MVT is used to prove that a function with zero derivative is constant and to bound errors in approximations. A separate mean value theorem for integrals guarantees that a function attains its average value.

More math abbreviations

  • M – Million
  • max – Maximum
  • mil – Million
  • min – Minimum
  • MM – Million (from Roman numerals MM)
  • mod – Modulo
  • N – Natural numbers
  • nCr – Combinations (n choose r)
  • nPr – Permutations
  • ODE – Ordinary differential equation
  • pct – Percent
  • PDE – Partial differential equation

See all 91 math abbreviations →

Edited by the AbbreviationList.com team. Spotted an error or a missing meaning? Contact us.