# How do you differentiate the following parametric equation:  x(t)=t, y(t)=t ?

Jun 23, 2016

1

#### Explanation:

seems little point as $x = t = y$ meaning $y = x$ so $y ' = 1$

but

$\frac{\mathrm{dy}}{\mathrm{dx}} = \frac{\frac{\mathrm{dy}}{\mathrm{dt}}}{\frac{\mathrm{dx}}{\mathrm{dt}}} = \frac{1}{1}$