Let f:R → R be a function defined by f(x) = min x + 1,| x | + 1, then which of the following is true?

(A) f(x) is differentiale everywhere

(B) f(x) is not differentiable at x = 0

(D) f(x) is not differentiable at x = 1

Limit, Continuity and Differentiability: JEE Main 2007 Mathematics question

JEE Main 2007 · Annual, Paper 1 · Q4175

JEE Main 2007Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let

f:R \to R

be a function defined by

f(x) = \min \left\{ {x + 1,\left| x \right| + 1} \right\}

, then which of the following is true?

JEE Main 2007 · Annual, Paper 1 · Q4175

JEE Main 2007Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let

f:R \to R

be a function defined by

f(x) = \min \left\{ {x + 1,\left| x \right| + 1} \right\}

, then which of the following is true?