How do you differentiate the following parametric equation: # x(t)=lnt, y(t)= tcost #?
Product rule here:
The derivative of a parametric function can be found through:
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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.
- What is the arclength of #f(t) = (sqrt(t^2-2t+1),t^2-2t+1)# on #t in [0,1]#?
- How do you differentiate the following parametric equation: # x(t)=tsqrt(t^2-1), y(t)= t^2-e^(t) #?
- How do you convert parametric equation to cartesian x = t - 2 and y = -(t²) + t + 1?
- What is the derivative of #f(t) = (t^2-sint , t-1 ) #?
- What is the derivative of #f(t) = (e^t/t +e^t, e^t-cost ) #?

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