# What is the derivative of #f(t) = (t^2-1 , te^(2t-1) ) #?

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The derivative of ( f(t) = (t^2 - 1, te^{2t-1}) ) with respect to ( t ) is:

[ f'(t) = \left(2t, e^{2t-1} + 2te^{2t-1}\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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