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

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To find the derivative of ( f(t) = (t\cos^2(t), t^2 - t\sec(t)) ):

- Differentiate each component of ( f(t) ) with respect to ( t ) separately.
- For the first component ( t\cos^2(t) ), use the product rule.
- For the second component ( t^2 - t\sec(t) ), differentiate each term separately.
- Combine the derivatives to form the derivative of the function ( f(t) ).

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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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