A curve is given by $x=t^3$ and $y=t^2+2t$. Find $\frac{dy}{dx}$.

A curve is given by $x=2t^2-1$ and $y=t^3-4t$. Find $\frac{dy}{dx}$.

A curve is given by $x=2t^2-1$ and $y=t^2+2t$. Find $\frac{dy}{dx}$.

For $x=2t^2-1$ and $y=3t^2+1$, write the tangent line at $t=2$ in point-slope form.

For $x=t^2$ and $y=5t^3$, find $\frac{d^{2}y}{d{x}^2}$.

A curve is given by $x=2t+1$ and $y=3t^2+1$. Find $\frac{dy}{dx}$.

A curve is given by $x=t^2+t$ and $y=2t^2$. Find $\frac{dy}{dx}$.

For $x=t^2+t$ and $y=t^3-4t$, find $\frac{dy}{dx}$ at $t=4$.

For $x=t^3$ and $y=3t^2+1$, write the tangent line at $t=-3$ in point-slope form.

For $x=t^2+1$ and $y=t^3-27t$, at which values of $t$ does the curve have a VERTICAL tangent?

For $x=2t^2-1$ and $y=t^3$, find $\frac{dy}{dx}$ at $t=2$.

For $x=3t^2$ and $y=t^3$, find $\frac{d^{2}y}{d{x}^2}$.

For $x=t^2$ and $y=-t^3$, find $\frac{d^{2}y}{d{x}^2}$.

For $x=t^2+3$ and $y=t^3-48t$, at which values of $t$ does the curve have a VERTICAL tangent?

For $x=t^2$ and $y=3t^2+1$, find $\frac{dy}{dx}$ at $t=2$.

A curve is given by $x=2t+1$ and $y=t^3-3t$. Find $\frac{dy}{dx}$.

For $x=5t$ and $y=t^3$, find $\frac{d^{2}y}{d{x}^2}$.

For $x=2t+1$ and $y=t^2-t$, write the tangent line at $t=3$ in point-slope form.

For $x=2t^2$ and $y=3t^3$, find $\frac{d^{2}y}{d{x}^2}$.

For $x=t^2+3$ and $y=t^3-75t$, at which values of $t$ does the curve have a HORIZONTAL tangent?

For $x=t^2+4$ and $y=t^3-3t$, at which values of $t$ does the curve have a HORIZONTAL tangent?

For $x=2t+1$ and $y=t^3-4t$, find $\frac{dy}{dx}$ at $t=1$.

A curve is given by $x=4t$ and $y=2t^3$. Find $\frac{dy}{dx}$.

For $x=4t$ and $y=2t^3$, find $\frac{dy}{dx}$ at $t=-1$.