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The derivative of with respect to , where is:
The derivative of $\tan^{-1}\left(\frac{\cos x - \sin x}{\cos x + \sin x}\right)$ with respect to $x$, where $x \in \left(0, \frac{\pi}{2}\right)$ is:
- (a)$\frac{\pi}{4}$
- (b)1
- (c)$-\frac{\pi}{4}$
- (d)-1
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From ISC 2025 Improvement Mathematics Paper 1, question 1(viii).