What is the derivative of #f(t) = (tcos^2t , t^2-cost ) #?
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The derivative of ( f(t) = (t\cos^2(t), t^2 - \cos(t)) ) with respect to ( t ) is:
[ f'(t) = \left( \frac{d}{dt} (t\cos^2(t)), \frac{d}{dt} (t^2 - \cos(t)) \right) ]
[ f'(t) = \left( \cos^2(t) - 2t\sin(t)\cos(t), 2t + \sin(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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- How do you transform parametric equations into Cartesian form: x= 3 + 2 cost and y= 1 + 5sint?

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