# How do you differentiate the following parametric equation: # x(t)=t/(t-4), y(t)=1/(1-t^2) #?

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To differentiate the given parametric equations (x(t) = \frac{t}{t-4}) and (y(t) = \frac{1}{1-t^2}), you will differentiate each equation separately with respect to (t) using the chain rule if necessary.

- Differentiate (x(t)) with respect to (t):

[x'(t) = \frac{d}{dt} \left(\frac{t}{t-4}\right)]

- Differentiate (y(t)) with respect to (t):

[y'(t) = \frac{d}{dt} \left(\frac{1}{1-t^2}\right)]

After differentiating each equation, you'll have the derivatives (x'(t)) and (y'(t)) in terms of (t).

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