# How do you find the instantaneous velocity at #t=0# for the position function #s(t) = 6t^2 +8t#?

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To find the instantaneous velocity at t = 0 for the position function s(t) = 6t^2 + 8t, you need to find the derivative of the position function with respect to time (s'(t)), and then evaluate it at t = 0.

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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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- For #f(x)=xsin^3(x/3)# what is the equation of the tangent line at #x=pi#?
- How do you use definition of derivatives to solve the derivative of #f(x)=–2(sin(x)^5)#?

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