# How do you differentiate the following parametric equation: # x(t)=-t-e^t, y(t)= -2t^2-2t^3e^(t) #?

Now, by the Rule for Parametric Differentiation,

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To differentiate the parametric equations (x(t) = -t - e^t) and (y(t) = -2t^2 - 2t^3e^t), you would differentiate each equation separately with respect to (t), using the chain rule when necessary.

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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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