Math Problem Statement
Find the equation of the tangent line to the graph of equation √x + √(y=3) at the point (1,4).
Question 14 options:
None of these.
y - 4 = 2(x - 1)
y - 1 = -2(x - 4)
y-4 = (-1/2)(x-1)
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Tangent Line
Square Roots
Formulas
Implicit differentiation: d/dx[f(y)] = f'(y) * dy/dx
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Point-slope form: y - y1 = m(x - x1)
Theorems
Chain Rule
Derivative of Square Root Function
Suitable Grade Level
Grades 11-12
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