Explain, in one or two sentences, why a rational function of the form cannot have a…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Explain, in one or two sentences, why a rational function of the form R(x)=p(x)q(x)R(x)=\dfrac{p(x)}{q(x)} cannot have a horizontal tangent at any xx-value for which q(x)=0q(x)=0.

Related theory

Browse the problem library