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Find the derivative of the following fun...

Find the derivative of the following functions from first principle.(i) `x^3-27` (ii) `(x - 1) (x - 2)` (iii) `1/(x^2)` (iv) `(x+1)/(x-1)`

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To find the derivatives of the given functions using the first principle of derivatives, we will apply the definition of the derivative: \[ f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h} \] Now, let's solve each part step by step. ...
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