# What is the derivative of #f(t) = (t^3e^(1-t) , tan^2t ) #?

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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.

- How do you differentiate the following parametric equation: # x(t)=cost, y(t)=sint #?
- How do you write #x = e^t-1# and #y=e^2t# as a cartesian equation and then sketch the curve?
- How do you differentiate the following parametric equation: # x(t)=(1-t)/e^t , y(t)=t/e^(3t) #?
- What is the derivative of #f(t) = (t^2+1 , e^(-t^2-t) ) #?
- How do you change the parametric equation to cartesian equation #x = t^2 - 1# and #y = t^3#?

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