What is the derivative of #f(t) = (t^3-e^(3t-1) , t^2+te^t ) #?
The derivative of the parametric function is
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The derivative of ( f(t) = (t^3 - e^{3t - 1}, t^2 + te^t) ) with respect to ( t ) is:
[ f'(t) = \left(3t^2 - 3e^{3t - 1}, 2t + e^t + te^t\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.
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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