Let a function g: [ 0, 4 ] → R be defined as g(x) = \ max 0 ≤ t ≤ x t³ - 6t² + 9t - 3), 0 ≤ x ≤ 3 4 - x, 3 < x ≤ 4., then the number of points in the interval (0, 4) where g(x) is NOT differentiable, is _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 20 Jul, Evening shift · Q38

JEE Main 202120 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let a function g : [ 0, 4 ]

\to

R be defined as

g(x) = \left\{ {\matrix{ {\mathop {\max }\limits_{0 \le t \le x} \{ {t^3} - 6{t^2} + 9t - 3),} & {0 \le x \le 3} \cr {4 - x,} & {3 < x \le 4} \cr } } \right.

, then the number of points in the interval (0, 4) where g(x) is NOT differentiable, is ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 20 Jul, Evening shift · Q38

JEE Main 202120 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let a function g : [ 0, 4 ]

\to

R be defined as

g(x) = \left\{ {\matrix{ {\mathop {\max }\limits_{0 \le t \le x} \{ {t^3} - 6{t^2} + 9t - 3),} & {0 \le x \le 3} \cr {4 - x,} & {3 < x \le 4} \cr } } \right.

, then the number of points in the interval (0, 4) where g(x) is NOT differentiable, is ____________.

Your answerType your answer. Integers and decimals are accepted.