If the functions \[f(x)\] and \[g(x)\] are continuous in [a, b] and differentiable in (a, b), then the equation \[\left| \begin{matrix} f(a) & f(b) \\ g(a) & g(b) \\ \end{matrix} \right|=(b-a)\left| \begin{matrix} f(a) & f'(x) \\ g(a) & g'(x) \\ \end{matrix} \right|\] has in the interval [a, b]

If the functions \[f(x)\] and \[g(x)\] are continuous in [a, b] and di

1.	If the functions \[f(x)\] and \[g(x)\] are continuous in [a, b] and differentiable in (a, b), then the equation \[\left\| \begin{matrix} f(a) & f(b) \\ g(a) & g(b) \\ \end{matrix} \right\|=(b-a)\left\| \begin{matrix} f(a) & f'(x) \\ g(a) & g'(x) \\ \end{matrix} \right\|\] has in the interval [a, b]
A.	At least one root
B.	Exactly one root
C.	At most one root
D.	No root
Answer» B. Exactly one root

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If the functions \[f(x)\] and \[g(x)\] are continuous in [a, b] and differentiable in (a, b), then the equation \[\left| \begin{matrix} f(a) & f(b) \\ g(a) & g(b) \\ \end{matrix} \right|=(b-a)\left| \begin{matrix} f(a) & f'(x) \\ g(a) & g'(x) \\ \end{matrix} \right|\] has in the interval [a, b]

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