# What is the instantaneous velocity of an object moving in accordance to # f(t)= (t^3-t^2-3,e^(2t)) # at # t=6 #?

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To find the instantaneous velocity of the object at ( t = 6 ), you need to differentiate the function ( f(t) ) with respect to time ( t ) and evaluate it at ( t = 6 ). So, differentiate the function ( f(t) ) with respect to ( t ), then evaluate the derivative at ( t = 6 ).

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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.

- What is the instantaneous velocity of an object moving in accordance to # f(t)= (e^(t-t^2),2t-te^t) # at # t=-1 #?
- How do you find the equations of #y = -1/3x + k# that is tangent to the unit circle in the first quadrant and find k?
- What are non differentiable points for a graph?
- How do you find the slope of a tangent line to the graph of the function #f(x)=3-5x# at (-1,8)?
- What is the equation of the tangent line of # f(x)=(x-1)^2 # at # x=3 #?

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