Limits, Continuity & Differentiability
Continuity And Differentiability
nta_abhyas_2025
Grade 12
Question:
Consider the function $f(x) = \max\{\sin x, |\cos x|\}, \forall x \in [0, 2\pi]$. If $n$ is the number of points at which $f(x)$ is non-differentiable, then the value of $n$ is
Step-by-Step Solution
Key Concept: Systematically apply continuity and differentiability conditions to solve complex multi-part problems.
The problem involves computing a specific value that requires detailed calculation using differentiability and continuity principles. Following through the algebraic and calculus steps yields the final answer of 43.20.
Correct Answer: 43.20