The Slope $$f ^ { \prime } ( x )$$ At Each Point (X, Y) on a Curve Y =

The slope $$f ^ { \prime } ( x )$$ at each point (x, y) on a curve y = f (x) is given, along with a particular point (a, b) on the curve. Use this information to find f (x) . $$f ^ { \prime } ( x ) = x e ^ { 36 - x ^ { 2 } }$$ ; (-6, 1)

A) $y = - 1 - \frac { 1 } { 2 } e ^ { 36 - x ^ { 2 } }$
B) $y = - \frac { 1 } { 2 } e ^ { 36 - x ^ { 2 } }$
C) $y = \frac { 3 } { 2 } - \frac { 1 } { 2 } e ^ { 36 - x ^ { 2 } }$
D) $y = 1 - \frac { 1 } { 2 } e ^ { 36 - x ^ { 2 } }$