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3. Use first principles (definition of differentiation) to find the first derivative of
x-2
x+2°

Expert Solution

Step 1

Let's denote the given function as f(x). So $f (x) = \frac{x - 2}{x + 2}$

Using first principle, the derivative of a function f(x) is written as $f' (x) = \lim_{∆ x \to 0} \frac{f (x + ∆ x) - f (x)}{∆ x}$ ......(1)

We will use this formula for the given function to get the result. The steps are given below.

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