7. Practice similar Find the derivative of $y=9 x^{2}+6^{x}+6$. \[ \frac{d y}{d x}= \] Submit answer

Step 1 ：Rewrite the function as \(y=9x^2+e^{x \ln 6}+6\)

Step 2 ：Apply the power rule to find the derivative of \(9x^2\), which is \(18x\)

Step 3 ：Apply the chain rule to find the derivative of \(e^{x \ln 6}\), which is \(e^{x \ln 6} \cdot \ln 6 = 6^x \ln 6\)

Step 4 ：The derivative of a constant, like \(6\), is \(0\)

Step 5 ：Combine the derivatives to get \(\frac{d y}{d x}=18x+6^x \ln 6+0\)

Step 6 ：Simplify to get \(\frac{d y}{d x}=18x+6^x \ln 6\)

Step 7 ：So, the derivative of the function \(y=9x^2+6^x+6\) is \(\boxed{18x+6^x \ln 6}\)