Please provide the function or equation you'd like me to solve using the derivative method. You can also upload a photo if you have a written equation. Let me know so I can help! 😊

Here’s a general process for solving via derivatives:

1. Understand the function: Identify the equation and what needs to be solved (e.g., critical points, slope, optimization).
2. Differentiate: Compute the derivative using the appropriate rules (e.g., product rule, chain rule).
3. Solve for critical points or slopes: Set the derivative equal to a given value (often 0) to solve.
4. Interpret the solution: Find the values and understand their implications.

If you're solving for specific values or finding the optimization (minima or maxima), we can continue accordingly.

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Do you want to share an equation for a detailed walkthrough? Here are some sample derivative problems we can tackle:

1. Find the slope of $y = x^2 + 3x + 5$ at $x = 2$.
2. Solve $f'(x) = 0$ for $f(x) = x^3 - 3x + 2$.
3. Use derivatives to find the maximum or minimum of $f(x) = -2x^2 + 4x + 1$.
4. Solve $\frac{d}{dx}(x^2 \sin x) = 0$.
5. Apply implicit differentiation to $x^2 + y^2 = 25$ to find $\frac{dy}{dx}$.

Tip: The power rule states that $\frac{d}{dx}(x^n) = n x^{n-1}$, a foundation for derivatives.