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

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The derivative of ( f(t) = (t + e^t, te^t - t^2 + t) ) is ( f'(t) = (1 + e^t, e^t + te^t - 2t + 1) ).

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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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