Mathematics

Problem

The slope field for a differential equation assigns a short line segment to every point

(x,y)

in the plane. Which of the following is represented by the slope of each segment? a) the reciprocal derivative

\dfrac{dx}{dy}

evaluated at

(x,y)

b) the value of

y

itself at

(x,y)

c) the value of

\dfrac{dy}{dx}

evaluated at

(x,y)

d) the curvature

\dfrac{d^{2}y}{dx^{2}}

(x,y)