Math Problem Statement

(x-1)^2 + (y-1)^2 = 13, (3,4) find dy/dx and find the slope of the curve at the given point

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Equation of a Circle
Slope of a Curve

Formulas

(x - h)^2 + (y - k)^2 = r^2 (Equation of a Circle)
dy/dx = -(x - h)/(y - k) (Implicit Differentiation)

Theorems

Implicit Differentiation Theorem
Equation of a Circle

Suitable Grade Level

Grades 11-12