Consider the curve

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

Problem

Consider the curve x2+y2=16x^{2}+y^{2}=16. Determine the nature of the point (0,4)(0,4) on the curve. (a) Local minimum\text{Local minimum} (b) Saddle point\text{Saddle point} (c) Local maximum\text{Local maximum} (d) Cannot be determined from first and second derivatives\text{Cannot be determined from first and second derivatives}

Related theory

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