Question

How do you differentiate the following parametric equation: `x(t)=e^t-t, y(t)=sint`?

Answer 1

`cost/(e^t-1)`

Explanation:

`x'(t)=e^t-1`
`y'(t)=cost`

The derivative of the parametric equation is

`dy/dx=(y'(t))/(x'(t))=cost/(e^t-1)`