All parts of this problem refer to the function below.

a) Use logarithmic differentiation to find $\dfrac{dy}{dx}$
$\dfrac{dy}{dx} =$

b) Find the slope of the tangent line at $x = 1$.
Slope =

c) Find the equation of the tangent line at $x = 1$.
Tangent line: $y =$

You can earn partial credit on this problem.