Let λ ^ be the largest value of λ for which the function f_λ (x) = 4λ x³ - 36λ x² + 36x + 48 is increasing for all x R. Then f λ ^ (1) + f λ ^ (- 1) is equal to:

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 24 Jun, Evening shift · Q2725

JEE Main 202224 Jun, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

\lambda

^ *

be the largest value of

\lambda

for which the function

{f_\lambda }(x) = 4\lambda {x^3} - 36\lambda {x^2} + 36x + 48

is increasing for all x

\in

R. Then

{f_{{\lambda ^ * }}}(1) + {f_{{\lambda ^ * }}}( - 1)

is equal to :