JEE Main 2026 Mathematics question

For the function f(x) = − |x|, x ∈ ℝ, consider the following statements: Statement I: f is differentiable for all x ∈ ℝ. Statement II: f is increasing in (−π, −π/2). In the light of the above statements, choose the correct answer from the options given below:

• (A)Both Statement I and Statement II are trueCorrect
• (B)Both Statement I and Statement II are false
• (C)Statement I is true but Statement II is false
• (D)Statement I is false but Statement II is true