Math problem. Find interval with solution. Thanks.?

2016-01-20 4:26 am

回答 (2)

2016-01-20 5:43 am
✔ 最佳答案
f(x) = (2 - x) eˣ
f'(x) = (1 - x) eˣ
f''(x) = - x eˣ

f(x) is decreasing when f'(x) = (1 - x) eˣ < 0
(1 - x) eˣ < 0
(1 - x) < 0 ...... ( Since eˣ > 0 )
x > 1

The interval is (1,∞)

∴ D. (1,∞)
2016-01-27 5:25 am
f"(x)=0
-x eˣ =0
x=0 or eˣ=0 (delete)
-------x<0 x=0 x>0
f'(x) + 0 -

D


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