Applications of Derivatives · Maximum and minimum on interval

Let

A = \begin{bmatrix} 1 & 3 & -1\\ 2 & 1 & \alpha\\ 0 & 1 & -1\end{bmatrix}

be a singular matrix. Let

f(x) = \displaystyle\int_0^x \left(t^2 + 2t + 3\right)dt

x \in [1, \alpha]

. If

M

and

m

are respectively the maximum and the minimum values of

f

[1, \alpha]

then

3(M - m)

is equal to:

We corrected a printing error in the original paper

Source printed the matrix $A$ between determinant bars (“ $A = \lvert\ldots\rvert$ be a singular matrix”).

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