Math Problem Statement

Find the equation to the tangent line to y=x^2-2x+2 at the point (1,1)

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Tangent Line

Formulas

y = mx + b (Equation of a line)
dy/dx = 2x - 2 (Derivative of y = x^2 - 2x + 2)
y - y1 = m(x - x1) (Point-slope form of a line)

Theorems

Derivative as the slope of the tangent line

Suitable Grade Level

Grades 10-12