How do you differentiate the following parametric equation: # x(t)=e^t-1/t, y(t)=1-t^2 #?
Anytime you're given parametric equations to differentiate, you use the relationship whereby:
Let's start off by differentiating each equation separately, then combine the two afterwards!
Differentiating y with respect to t (dy/dt) we get:
Differentiating x with respect to t (dx/dt) we get:
(If you're not sure how I got the
Now putting everything together we get:
Hopefully this answers your question clearly! If you have any follow up questions, please feel free to ask! :)