Math Problem Statement
there is a parametric equation with x = theta ^ 2 and y = sin (2theta), calculate the derivative at pi/2 and -pi/4
Solution
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Math Problem Analysis
Mathematical Concepts
Parametric Equations
Calculus
Derivatives
Trigonometry
Formulas
x = θ^2
y = sin(2θ)
dy/dx = (dy/dθ) / (dx/dθ)
dx/dθ = 2θ
dy/dθ = 2cos(2θ)
Theorems
Chain Rule
Suitable Grade Level
Undergraduate (Calculus I or II)
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