The value of ε in the Lagrange's mean value theorem of f(b) - f(a) = (b - a) f'(ε) for f(x) = Ax² + Bx + C in (a, b) is
In easy words, using formula we get b + a/2. Calculation gives this directly, check steps: apply rule, substitute values, simplify to get b + a/2.
Ref: NCERT Mathematics Class XI — Sets, Relations and Functions
