The Slope F '(X)at Each Point (X,y)on a Curve Y $f ^ { \prime } ( x ) = x e ^ { 36 - x ^ { 2 } }$

Multiple Choice

The slope f '(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) $y = - \frac { 1 } { 2 } e ^ { 3 - x ^ { 2 } }$
C) $y = \frac { 3 } { 2 } - \frac { 1 } { 2 } e ^ { 36 - x ^ { 2 } }$
D) $y = 1 - \frac { 1 } { 2 } e ^ { 36 - x ^ { 2 } }$