Find the values of `p` if `f(x)=cosx-2p x` is invertible.

Explanation

To determine the values of \( p \) for which the function \( f(x) = \cos x - 2px \) is invertible, we need to analyze the monotonicity of the function. A function is invertible if it is either always increasing or always decreasing. This can be established by examining the derivative of the function.

### Step-by-step Solution:

1. **Find the derivative of the function**:
\[ f'(x) = \frac{d}{dx}(\cos x - 2px) = -\sin x - 2p \]
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