Question

How do you differentiate the following parametric equation: `x(t)=t/2, y(t)= 1-t-cost`?

Answer 1

`dx/dt = 1/2`
`dy/dt = sin(t) - 1`
`dy/dx = 2sin(t) - 2`

Explanation:

`dx/dt = 1/2`

`dy/dt = sin(t) - 1`

`dy/dx = (dy/dt)/(dx/dt) = 2sin(t) - 2`