The family of curves given by depends on the constant

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

The family of curves given by xy+a=0xy + a = 0 depends on the constant aa. Describe how the slope dydx\dfrac{dy}{dx} at a point (x,y)(x,y) with x≠0x \ne 0 depends on aa.

Related theory

Browse the problem library