Mathematics

Problem

In a slope field for a first-order differential equation, what does the orientation of the small line segment drawn at the lattice point

(x,y)

represent? a) the value of the second derivative

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

evaluated at that point b) the value of the derivative

\dfrac{dy}{dx}

evaluated at that point c) the value of the function

y

at that point d) the value of the reciprocal derivative

\dfrac{dx}{dy}

at that point