f(x)=integral{e^x(x-1)(x-2)dx.then f(x) decreases in what interval?
f(x)=integral{e^x(x-1)(x-2)dx.
then f(x) decreases in what interval?
Harshit Srivastava , 11 Years ago
Grade 12th pass
Differential Calculus> f(x)=integral{e^x(x-1)(x-2)dx. then f(x) ...
1 AnswersNishant Vora
Hi,
f(x)=integral{e^x(x-1)(x-2)dx.
So f’(x) = ex(x-1)(x-2)
Now for decreasing functions
f’(x) < 0
so f’(x) = ex(x-1)(x-2) <0
But ex is always positive
so (x-1)(x-2) <0
So x
(1,2) for this interval f is decreasing
f(x)=integral{e^x(x-1)(x-2)dx.
So f’(x) = ex(x-1)(x-2)
Now for decreasing functions
f’(x) < 0
so f’(x) = ex(x-1)(x-2) <0
But ex is always positive
so (x-1)(x-2) <0
So x
(1,2) for this interval f is decreasing
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