Question

Statement 1: \( f(x) = e^{|\sin x| - |x|} \) is differentiable for all \( x \in \mathbb{R} \).
Statement 2: \( f(x) \) is increasing in \( x \in \left( -\pi, -\frac{\pi}{2} \right) \).

• A. Statement 1 and 2 are false
• B. Statement 1 is true and statement 2 is false
• C. Statement 1 is false and statement 2 is true
• D. Statement 1 and 2 are true

Answer 1

The Correct Option is C