Find the Curve Y = F(x) in the Xy-Plane That $\frac { d ^ { 2 } y } { d x ^ { 2 } } = 36 x$

Multiple Choice

Find the curve y = f(x) in the xy-plane that has the given properties.
- $\frac { d ^ { 2 } y } { d x ^ { 2 } } = 36 x$ and the graph of $y$ passes through the point $( 0,11 )$ and has a horizontal tangent there.

A) $y = 18 x ^ { 3 } + 11$
B) $y = 18 x ^ { 2 } + 11$
C) $y = 6 x ^ { 3 } + 11$
D) $y = 6 x ^ { 3 } - 11$