1. The problem is to find the derivative of the function $y=(2x+3)^5$ using the chain rule. 2. The chain rule states that if $y=f(g(x))$, then the derivative is $\frac{dy}{dx} = f'(g(x)) \cdot g'(x)$. 3. Here, let $f(u) = u^5$ and $g(x) = 2x+3$. 4. Compute the derivative of the outer function: $f'(u) = 5u^4$. 5. Compute the derivative of the inner function: $g'(x) = 2$. 6. Apply the chain rule: $$\frac{dy}{dx} = 5(2x+3)^4 \cdot 2$$ 7. Simplify the expression: $$\frac{dy}{dx} = 10(2x+3)^4$$ This is the derivative of the function using the chain rule.