When we optimise a function, with the first order derivative equal to ___ and the second order derivative ___ the function is at a relative minimum. A)0, 0 B)0, 0 D) 0, 0

Question

When we optimise a function, with the first order derivative equal to ___ and the second order derivative ___ the function is at a relative minimum.
A)0, 0
B)0, < 0
C)0, > 0
D)> 0, 0

Quizplus · Accepted Answer

For a function to be at a relative minimum, the first order derivative must be 0 (indicating a stationary point), and the second order derivative must be greater than 0, indicating that the curve is concave upwards at that point.

When We Optimise a Function, with the First Order Derivative