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

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To differentiate the parametric equations ( x(t) = t^2 - t ) and ( y(t) = e^t + \cos(t) ) with respect to ( t ), compute the derivatives of ( x ) and ( y ) separately using the chain rule if necessary. This yields ( \frac{dx}{dt} ) and ( \frac{dy}{dt} ), which represent the rates of change of ( x ) and ( y ) with respect to ( t ), respectively.

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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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