Mathematics, 10.03.2020 05:41 deshaunmosley66
EXAMPLE 7 Find the critical numbers of the function. f(x) = x3/5(8 − x). SOLUTION The Product Rule gives the following. f '(x) = x3/5 Correct: Your answer is correct. + (8 − x) Correct: Your answer is correct. = Correct: Your answer is correct. + 3(8 − x) Correct: Your answer is correct. = Incorrect: Your answer is incorrect. + 3(8 − x) Correct: Your answer is correct. =
Answers: 1
and 
![f'(x) = \frac{f(x)\cdot g'(x)-f'(x)\cdot g(x)}{[g(x)]^{2}}](/tpl/images/0540/1164/029a1.png)
, where 
and 
.
![f'(x) = \frac{(x^{3})\cdot (-5)-(3\cdot x^{2})\cdot [5\cdot (8-x)]}{25}](/tpl/images/0540/1164/58835.png)
be equalized to zero and critical numbers are found by the First Derivative Test:
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EXAMPLE 7 Find the critical numbers of the function. f(x) = x3/5(8 − x). SOLUTION The Product Rule g...
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