The steps you follow to maximize a quantity are the same as the steps you follow to minimise the quantity.?

Question

Explain why??
((guyzzz dis is in calculus)

Answer 1

Find the place where the derivative is zero. This indicates that the function is either a) leveling off, or b) changing direction. With quadratic functions, it is always b. When a parabola changes direction, that is at the vertex, which is either the maximum or the minimum point on its graph. (Draw the graph and this will become apparent.)

Answer 2

Consider:-
f(x) = x² + 4
f ` (x) = 2x = 0 for turning point
x = 0 for turning point.
Turning point at (0,4)
f "(x) = 4 is +ve thus (0,4) is a MINIMUM turning point.
Consider:-
f(x) = - x² + 4
f `(x) = - 2x = 0 for turning point
x = 0 for turning point.
Turning point at (0,4)
f "(x) = - 2 is - ve thus (0,4) is a MAXIMUM turning point.

From above, same procedure is used to find maximum and minimum values.

Hope this might thelp.