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:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"

Since, 

6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
Answer:
2 and 2/3 for the first question
-1/8 for the second one
-1/5 for the third one
ive never done this type of question or maybe it was too long ago for me to remember but out of this answer choices i would guess that its the last one
this is 3
Step-by-step explanation:
you add the numerators which is the top number in order to get 2 and 2/3rds
you subtract 5 from 4 to get -1/8
same situation as the last one, subtract 15 from 11 to make it a negative 4/20 and then simplify that by dividing it by four to get 1/5th
this one i dont understand or remember how to do very well but if i had to guess its the last answer choice
this one you add 3/4 plus 1/4 in order to get 4/4 or rather 1, so basically its asking what 1+1+1 is which is 3
Answer:
5/19
Step-by-step explanation:
There's no explanation, it's just common sense ♀️
Answer: f=-2
Step-by-step explanation:
math