If `f(x)=2(7cosx+24sinx)(7sinx-24cosx),` for every `x in R ,` then maximum value of `f(x)^(1/4)` is_____

Explanation

To find the maximum value of \( f(x)^{1/4} \) where \( f(x) = 2(7\cos x + 24\sin x)(7\sin x - 24\cos x) \), we will follow these steps:

### Step 1: Expand \( f(x) \)

We start with the expression for \( f(x) \):
\[ f(x) = 2(7\cos x + 24\sin x)(7\sin x - 24\cos x) \]
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