The value of the derivative at the maximum or minimum for a continuous function must be zero.
<h3>What happens with the derivative at the maximum of minimum?</h3>
So, remember that the derivative at a given value gives the slope of a tangent line to the curve at that point.
Now, also remember that maximums or minimums are points where the behavior of the curve changes (it stops going up and starts going down or things like that).
If you draw the tangent line to these points, you will see that you end with horizontal lines. And the slope of a horizontal line is zero.
So we conclude that the value of the derivative at the maximum or minimum for a continuous function must be zero.
If you want to learn more about maximums and minimums, you can read:
brainly.com/question/24701109
Answer:
6.6 cm and 14.6 cm
Step-by-step explanation:
(a)
the length of arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × 
= 2π × 4 × 
= 8π × 
= 
≈ 6.6 cm ( to the nearest tenth )
(b)
the perimeter (P) of sector AOB is
P = r + r + AB = 4 + 4 + 6.6 = 14.6 cm
The correct answer is = because 4/6 simplifies to 2/3
Answer:
(a) The net change of the function is 12.
(b) The average rate of change of the function 4.
Step-by-step explanation:
The average rate of change of function
over the interval
is given by this expression:
average rate of change = 
It is a measure of how much the function changed per unit, on average, over that interval.
Given:

(a) To find the net change of the function, first we calculate the values of
and 

The net change is simply the difference

(b) The average rate of change takes the net change and divides it by the change in the
value.

Answer:
B. 25 degrees
Step-by-step explanation:
i think