For the curve

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

Problem

For the curve x2+y2=25x^{2}+y^{2}=25, determine the concavity of the curve with respect to xx at the point (3,4)(3,4). (a) Point of inflexion at (3,4)(3,4) (b) Second derivative not defined at (3,4)(3,4) (c) Concave downward at (3,4)(3,4) (d) Concave upward at (3,4)(3,4)

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