The circle is viewed as the graph of implicitly defined by the equation with

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

Problem

The circle

x^{2}+y^{2}=25

is viewed as the graph of

y

implicitly defined by the equation with

y>0

. At the point

(3,4)

, decide whether the graph is concave upward or concave downward with respect to the

x

-axis.

Related theory

Curve Analysis
Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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