GATE EE 2024 EE Q44: Calculus

Consider the function

for

, where

denotes the maximum of

and

. Which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

is not differentiable.

is differentiable and its derivative is continuous.

is differentiable but its derivative is not continuous.

and its derivative are differentiable.

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