Mathematics

Mathematics

Problem

For a differentiable parametric curve given by x=f(t)x=f(t) and y=g(t)y=g(t), which of the following conditions must hold at a point to guarantee that the tangent line is horizontal? a) dydt=0\dfrac{dy}{dt}=0 b) dydt=0\dfrac{dy}{dt}=0 and dxdt≠0\dfrac{dx}{dt}\neq 0 c) dxdt=0\dfrac{dx}{dt}=0 and dydt≠0\dfrac{dy}{dt}\neq 0 d) dydt=0\dfrac{dy}{dt}=0 and dxdt=0\dfrac{dx}{dt}=0

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