Determine all points on the circle at which the tangent line is horizontal.

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

Problem

Determine all points on the circle x2+y2=25x^{2}+y^{2}=25 at which the tangent line is horizontal. (a) (0,5)(0,5) only (b) (5,0)(5,0) and (−5,0)(-5,0) (c) (0,5)(0,5) and (0,−5)(0,-5) (d) (5,0)(5,0) only

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