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

The derivative of the parametric equation is

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The derivative of ( f(t) = (e^{t^2}-e^t, 2t^2-t) ) is ( f'(t) = (2te^{t^2} - e^t, 4t - 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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- What is the derivative of #f(t) = ((lnt)^2-t, tsint ) #?
- What is the arclength of #(lnt/t,lnt)# on #t in [1,2]#?

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