# What is the derivative of #f(t) = (e^(t^2)-e^t, 2t^2-4t ) #?

The derivative of the parametric function is

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The derivative of ( f(t) = (e^{t^2}-e^t, 2t^2-4t) ) with respect to ( t ) is:

[ f'(t) = \left( 2te^{t^2} - e^t, 4t - 4 \right) ]

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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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