Step 2 Before applying the Chain Rule, we will first find the derivatives \( g^{\prime}(x) \) and \( h^{\prime}(x) \) \( g(x)=8 \ln (x) \) \( g^{\prime}(x)=\square \) \( h(x)=\sin (x) \) \( h^{\prime}(x)=\square \)

To find \( g^{\prime}(x) \) for \( g(x) = 8 \ln(x) \), we apply the derivative rule for logarithmic functions. The derivative of \( \ln(x) \) is \( \frac{1}{x} \), so we multiply this by 8: \[ g^{\prime}(x) = 8 \cdot \frac{1}{x} = \frac{8}{x} \]. For \( h^{\prime}(x) \) where \( h(x) = \sin(x) \), the derivative of the sine function is straightforward: \[ h^{\prime}(x) = \cos(x) \].