What is the derivative of #f(t) = (t-sint , cost ) #?
The derivative of the parametric function is
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The derivative of the function ( f(t) = (t - \sin(t), \cos(t)) ) with respect to t is ( f'(t) = (1 - \cos(t), -\sin(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.
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.
- For #f(t)= (sin2t,cos^2t)# what is the distance between #f(pi/4)# and #f(pi)#?
- How do you differentiate the following parametric equation: # x(t)=t^2cos^2t, y(t)=tsint #?
- What is the derivative of #f(t) = (t^2-t , t^2-e^(1-t)/t^3 ) #?
- What is the arclength of #f(t) = (t^3-t^2+t,t-t^2)# on #t in [0,1]#?
- How do you differentiate the following parametric equation: # (sint,tcost-pit)#?

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