Differentiate each of the following from...

Differentiate each of the following from first principle: `(x+2)/(3x+5)`

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To differentiate the function \( f(x) = \frac{x+2}{3x+5} \) using the first principle, we follow these steps: ### Step 1: Write the definition of the derivative According to the first principle of derivatives, the derivative \( f'(x) \) is defined as: \[ f'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h} \] ...

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