The set of points where the function `f(x)` given by `f(x)=|x-3|cosx` is differentiable, is `R` (b) `R-{3}` (c) `(0,\ oo)` (d) none of these

Explanation

To determine the set of points where the function \( f(x) = |x - 3| \cos x \) is differentiable, we need to analyze the function, particularly at the point where the modulus function could cause non-differentiability.

### Step-by-step Solution:

1. **Identify the critical point**:
The function \( f(x) \) contains the absolute value \( |x - 3| \). The expression inside the absolute value becomes zero when \( x = 3 \). Therefore, \( x = 3 \) is a critical point where we need to check for differentiability.

**Hint**: Check where the expression inside the absolute value equals zero to find critical points.
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