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Show That the Function Is Concave Upward Wherever It

Question 14

Multiple Choice

Show that the function Show that the function is concave upward wherever it is defined. ​ A) The function is defined for any value of x and hence the function is concave upward for any x. B) The second derivative of is . It is positive for any value of x, hence the function is concave upward for any x. C) The first derivative of is . It is positive for any value of x, hence the function is concave upward for any x. is concave upward wherever it is defined. ​


A) The function Show that the function is concave upward wherever it is defined. ​ A) The function is defined for any value of x and hence the function is concave upward for any x. B) The second derivative of is . It is positive for any value of x, hence the function is concave upward for any x. C) The first derivative of is . It is positive for any value of x, hence the function is concave upward for any x. is defined for any value of x and Show that the function is concave upward wherever it is defined. ​ A) The function is defined for any value of x and hence the function is concave upward for any x. B) The second derivative of is . It is positive for any value of x, hence the function is concave upward for any x. C) The first derivative of is . It is positive for any value of x, hence the function is concave upward for any x. hence the function is concave upward for any x.
B) The second derivative of Show that the function is concave upward wherever it is defined. ​ A) The function is defined for any value of x and hence the function is concave upward for any x. B) The second derivative of is . It is positive for any value of x, hence the function is concave upward for any x. C) The first derivative of is . It is positive for any value of x, hence the function is concave upward for any x. is Show that the function is concave upward wherever it is defined. ​ A) The function is defined for any value of x and hence the function is concave upward for any x. B) The second derivative of is . It is positive for any value of x, hence the function is concave upward for any x. C) The first derivative of is . It is positive for any value of x, hence the function is concave upward for any x. . It is positive for any value of x, hence the function is concave upward for any x.
C) The first derivative of Show that the function is concave upward wherever it is defined. ​ A) The function is defined for any value of x and hence the function is concave upward for any x. B) The second derivative of is . It is positive for any value of x, hence the function is concave upward for any x. C) The first derivative of is . It is positive for any value of x, hence the function is concave upward for any x. is Show that the function is concave upward wherever it is defined. ​ A) The function is defined for any value of x and hence the function is concave upward for any x. B) The second derivative of is . It is positive for any value of x, hence the function is concave upward for any x. C) The first derivative of is . It is positive for any value of x, hence the function is concave upward for any x. . It is positive for any value of x, hence the function is concave upward for any x.

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