How do you differentiate the following parametric equation: # x(t)=t, y(t)=t #?
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To differentiate the given parametric equations x(t) = t and y(t) = t with respect to time parameter t, you differentiate each equation separately:

Differentiate x(t) with respect to t: dx/dt = d(t)/dt = 1

Differentiate y(t) with respect to t: dy/dt = d(t)/dt = 1
Therefore, the derivatives of x(t) and y(t) with respect to t are both 1.
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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