$\displaystyle {y}={\left({x}^{{2}}+{6}\right)}^{{x}}$

Use Logarithmic Differentiation to find $\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}$

$\displaystyle \frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}=$ Preview Question 6  

Type sin(x) for $\displaystyle {\sin{{\left({x}\right)}}}$ , cos(x) for $\displaystyle {\cos{{\left({x}\right)}}}$, and so on.

Use x^2 to square x, x^3 to cube x, and so on.

Use ( sin(x) )^2 to square sin(x).

Use ln( ) for the natural logarithm.

Do NOT simplify your answer.