AP Precalculus Quiz
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FUNCTIONS INVOLVING PARAMETERS, VECTORS, AND MATRICES
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A robot arm end-effector has planar coordinates r⃗=⟨x,y⟩\vec r=\langle x,y\rangle constrained by x2+xy+y2=λx^2+xy+y^2=\lambda, where λ>0\lambda>0 is a fixed calibration parameter. During a test, yy changes as a differentiable function of xx along the constraint curve. To compute the instantaneous slope of the path, the control system uses implicit differentiation. Based on the scenario, differentiate with respect to xx and find dy/dxdy/dx.​
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