The second derivative test reveals that f (x)= x² - 4 has A)nothing significant at x = 4. B)a relative maximum at $x = \sqrt { 4 }$ . C)a point of inflection at $x = \sqrt { 4 }$ . D)a relative minimum at x = 0.

Question

Quizplus · Accepted Answer

The second derivative of the function $f(x) = x^2 - 4$ is positive at $x = 0$, indicating a relative minimum at this point.

The Second Derivative Test Reveals That F (X)= X2 - x=4x = \sqrt { 4 }x=4​

The Second Derivative Test Reveals That F (X)= X² - $x = \sqrt { 4 }$