Find the derivative of the following functions from first principle...

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Find the derivative of the following functions from first principle.
(i) \( x^{3}-27 \)
(ii) \( (x-1)(x-2) \)
\( \mathrm{P} \)
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(iii) \( \frac{1}{x^{2}} \)
(iv) \( \frac{x+1}{x-1} \)
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