Let a function ƒ : [0, 5] $ \to $ R be continuous, ƒ(1) = 3 and F be defined as : $F(x) = \int\limits_1^x {{t^2}g(t)dt} $ , where $g(t) = \int\limits_1^t {f(u)du} $ Then for the function F, the point x = 1 is :

Question

Let a function ƒ : [0, 5] $ \to $ R be continuous, ƒ(1) = 3 and F be defined as :

$F(x) = \int\limits_1^x {{t^2}g(t)dt} $ , where $g(t) = \int\limits_1^t {f(u)du} $

Then for the function F, the point x = 1 is :

a point of inflection.

a point of local maxima.

a point of local minima.

not a critical point.

Solution

Please login to view the detailed solution steps...

Go to DASH