Derivative
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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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Solution Summary
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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