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

# dx/dt = -1/t^2 #

# dy/dt = (2t)/(1-t^2)^2 #

Which leads to:

# dy/dx = (-2t^3)/(1-t^2)^2 #

We have:

And:

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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