1. Let's start by stating the problem: you want to find the derivative of a function but prefer not to use implicit differentiation. 2. One alternative is to explicitly solve for $y$ in terms of $x$ if possible, then differentiate normally. 3. For example, if the equation is $x^2 + y^2 = 25$, solve for $y$: $$y = \pm \sqrt{25 - x^2}$$ 4. Now differentiate $y$ with respect to $x$ using the chain rule: $$\frac{dy}{dx} = \pm \frac{1}{2\sqrt{25 - x^2}} \cdot (-2x) = \pm \frac{-x}{\sqrt{25 - x^2}}$$ 5. This method avoids implicit differentiation by isolating $y$ first, then differentiating explicitly. 6. Note: this works only if you can solve for $y$ explicitly; otherwise, implicit differentiation is necessary. 7. If you provide a specific function, I can show this method step-by-step.