Mathematics

Mathematics

Problem

For a curve defined parametrically by x=f(t)x=f(t) and y=g(t)y=g(t), which of the following expressions gives dydx\dfrac{dy}{dx} in terms of derivatives with respect to tt? a) dydt dxdt\dfrac{dy}{dt}\,\dfrac{dx}{dt} b) dxdtdydt\dfrac{\dfrac{dx}{dt}}{\dfrac{dy}{dt}} c) dydtdxdt\dfrac{\dfrac{dy}{dt}}{\dfrac{dx}{dt}} d) dydt+dxdt\dfrac{dy}{dt}+\dfrac{dx}{dt}

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