1) The slope of a straight line is
constant when measured at any point along the line.
2) The slope of a nonlinear function
varies depending on the point along the line at which it is measured.
Topic: SLOPE OF A NONLINEAR FUNCTION
3) To determine the slope of a nonlinear
function at a point, we must find the slope of a line tangent to the point.
4) The derivative of a constant is one.
5) The second derivative tells about the
slope of the first derivative.
6) A zero value for the derivative of a
nonlinear function always indicates the location of a maximum or minimum.
7) The first step in attempting to find a
minimum or maximum of a nonlinear function is to take the derivative of the
function, set it equal to zero, and solve for x.
Answer:
TRUE
8) At a minimum of a nonlinear function,
the first derivative is equal to zero, and the second derivative is positive.
9) If, for a nonlinear function, the first
derivative is equal to zero and the second derivative is equal to zero, we have
both a maximum and a minimum occurring simultaneously.
10) We can find a point of inflection by
simply setting the second derivative of the nonlinear function equal to zero
and solving.
11) The EOQ model is obtained by taking
the second derivative of the revenue function.
12) To maximize total revenues, one can
set the derivative of the total revenue function equal to zero and solve.
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