What is the derivative of #f(t) = (t-lnt, tsint ) #?
Differentiate each component separately to obtain :
In differentiating the second component, I made use of the product rule.
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The derivative of ( f(t) = (t - \ln(t), , t \sin(t)) ) with respect to ( t ) is given by:
[ f'(t) = \left(1 - \frac{1}{t}, , \sin(t) + t \cos(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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