Question

Найдите F’(2),если F(x) = x/x2-1

Answer 1

Ответ:

1

Пошаговое объяснение:

2\2*2-1

F=1

Answer 2

To find the derivative of F(x), we'll need to use the quotient rule:

F(x) = x/(x^2 - 1) F'(x) = [(x^2 - 1)(1) - (x)(2x)] / (x^2 - 1)^2 F'(x) = (-x^2 + 1) / (x^2 - 1)^2

To find F'(2), we substitute x=2 into the derivative:

F'(2) = (-2^2 + 1) / (2^2 - 1)^2 F'(2) = (-3) / (3)^2 F'(2) = -1/3

Therefore, F'(2) = -1/3.