Chapter 10.1, Problem 62E

(a)

To determine

The value of $\frac{dy}{dx}$ in terms of t and find the derivative when $t=-1$ if $x=2t,y=t^3$.

(b)

To determine

To sketch: The curve with parametric equation $x=2t,y=t^3$ in the xy-plane alongwith its tangent at point $t=-1$.