If $x$ and $y$ are given parametrically in terms of $t$, then $\dfrac{…

Question

If $x$ and $y$ are given parametrically in terms of $t$, then $\dfrac{dy}{dx}$ is

Accepted Answer

B. $\dfrac{dy/dt}{dx/dt}$

For parametric curves, the derivative with respect to $x$ is obtained by dividing the derivative of $y$ with respect to the parameter by the derivative of $x$ with respect to the same parameter: $\dfrac{dy}{dx}=\dfrac{dy/dt}{dx/dt}$, provided $dx/dt
eq 0$.

Answer

$\dfrac{dx/dt}{dy/dt}$

Answer

$\dfrac{d^2y}{dt^2}$

Answer

$\dfrac{dy}{dt}\cdot\dfrac{dx}{dt}$

If $x$ and $y$ are given parametrically in terms of $t$, then $\dfrac{dy}{dx}$ is

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