Let `f(x)=|sinx|` . Then, (a) `f(x)` is everywhere differentiable. (b) `f(x)` is everywhere continuous but not differentiable at `x=n\ pi,\ n in Z` (c) `f(x)` is everywhere continuous but not differentiable at `x=(2n+1)pi/2` , `n in Z` . (d) none of these

Explanation

To solve the problem, we need to analyze the function \( f(x) = |\sin x| \) and determine its differentiability and continuity at various points.

### Step-by-Step Solution:

1. **Understanding the Function**:
The function \( f(x) = |\sin x| \) takes the sine function and reflects any negative values above the x-axis. This means wherever \( \sin x \) is negative, \( f(x) \) will be positive.

2. **Graphing the Function**:
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