1. Differentiate the function $y=4x^3 - 5x^2 + 6x + 5$ with respect to $x$. 2. Use the power rule for differentiation: if $y = x^n$, then $\frac{dy}{dx} = nx^{n-1}$. 3. Differentiate each term separately: $$\frac{d}{dx}(4x^3) = 4 \times 3x^{3-1} = 12x^2$$ $$\frac{d}{dx}(-5x^2) = -5 \times 2x^{2-1} = -10x$$ $$\frac{d}{dx}(6x) = 6$$ $$\frac{d}{dx}(5) = 0$$ 4. Combine the derivatives: $$\frac{dy}{dx} = 12x^2 - 10x + 6$$ This is the derivative of the given function.