jee-main 2020 Q63

jee-main · India · session1_07jan_shift2 Applied differentiation Properties of differentiable functions (abstract/theoretical)

The value of $c$, in the Lagrange's mean value theorem for the function $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 8 x + 11$, when $x \in [ 0,1 ]$, is
(1) $\frac { 4 - \sqrt { 5 } } { 3 }$
(2) $\frac { 4 - \sqrt { 7 } } { 3 }$
(3) $\frac { 2 } { 3 }$
(4) $\frac { \sqrt { 7 } - 2 } { 3 }$

The value of $c$, in the Lagrange's mean value theorem for the function $f ( x ) = x ^ { 3 } - 4 x ^ { 2 } + 8 x + 11$, when $x \in [ 0,1 ]$, is\\
(1) $\frac { 4 - \sqrt { 5 } } { 3 }$\\
(2) $\frac { 4 - \sqrt { 7 } } { 3 }$\\
(3) $\frac { 2 } { 3 }$\\
(4) $\frac { \sqrt { 7 } - 2 } { 3 }$

Paper Questions

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