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).
A) $y = - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
B) $y = - \frac { 3 } { 2 } - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
C) $y = - 2 - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
D) $y = 2 - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$

Question

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).
A) $y = - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
B) $y = - \frac { 3 } { 2 } - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
C) $y = - 2 - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
D) $y = 2 - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$

Quizplus · Accepted Answer

The Answer of 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).
A) $y = - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
B) $y = - \frac { 3 } { 2 } - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
C) $y = - 2 - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$
D) $y = 2 - \frac { 1 } { 2 } e ^ { 16 - x ^ { 2 } }$

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

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