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32. f(t) = 3 - 3/(5t)

12. y = t2 + 2t - 3

22. y = 5 + sinx

24. y = (3/4)ex + 2cosx

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The solution contains step-by-step explanations of how to find the derivatives of four functions.

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32. f(t) = 3 - 3/(5t)

First of all, when t = 3/5, f(t) = 2, NOT 3:

f(t) = 3 - 3/(5t)

f(3/5) = 3 - 3/(5*3/5)

f(3/5) = 3 - 1

f(3/5) = 2

To find the slope at the point (3/5, 2), first we're going to find the derivative of f(t), then we're going to plug in the value ...

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