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Application of Derivatives question

2022 · 24 Jun · Shift 2 · Q36

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JEE Main
Mathematics
Application of Derivatives
2022 · 24 Jun · Shift 2 · Q36

Application of Derivatives question

2022 · 24 Jun · Shift 2 · Q36

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1

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 :

A
36
B
48
C
64
D
72

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