1. **Problem:** Find the value of the function $f(x) = 3x^2 - 5x + 2$ at $x=4$. 2. **Problem:** Evaluate the limit $\lim_{x \to 2} \frac{x^2 - 4}{x - 2}$. 3. **Problem:** Find the derivative of $f(x) = x^3$ using the definition of derivative: $$f'(x) = \lim_{\Delta x \to 0} \frac{f(x + \Delta x) - f(x)}{\Delta x}$$ 4. **Problem:** Differentiate $f(x) = 5x^4 - 3x + 7$ using the rules of differentiation. 5. **Problem:** Use the chain rule to differentiate $f(x) = (2x^3 + 1)^5$. 6. **Problem:** Find the derivative of the inverse function of $f(x) = 3x + 4$ using rules of differentiation. 7. **Problem:** Find the second derivative $y''$ of $y = x^4 - 2x^2 + 3$. 8. **Problem:** Use implicit differentiation to find $\frac{dy}{dx}$ if $x^2 + y^2 = 25$. These problems cover the requested topics in order without graphs, trigonometry, or logarithms.