Math Problem Statement

If x = 1-t^2/1+t^2 and y=2t/1+t^2 then find dy/dx

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Parametric Equations
Chain Rule
Quotient Rule

Formulas

Chain rule: dy/dx = (dy/dt) / (dx/dt)
Quotient rule: d/dt [u/v] = (v * du/dt - u * dv/dt) / v^2

Theorems

Chain Rule
Quotient Rule

Suitable Grade Level

Grades 11-12