The circle passes through the point

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

Problem

The circle x2+y2=25x^{2}+y^{2}=25 passes through the point (0,5)(0,5). Evaluate d2ydx2\dfrac{d^{2}y}{dx^{2}} at this point and state whether the curve is concave upward or concave downward there.

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