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
Step-by-step explanation:
14/15 - 2/3 =
14/15 and 2/3 lcm is 15
so 14/15 becomes 14/15
- 2/3 become 10/15
15÷5=3 and 10÷5=2
so 14/15
-10/15=4/15
14-10 = 4
answer is 4/15 and since 15 can't be divided by 4 equally it is in simplest form at 4/15
Answer:
y = 2x - 12
Step-by-step explanation:
To find the inverse of a function, you switch x and y and solve for y.
x = 1/2 y + 6 switch x and y
x - 6 = 1/2 y subtract 6 from both sides
2x - 12 = y multiply both sides by 2
Answer:
The correct answer is the number in the note is 80 and the first digit is 8.
Step-by-step explanation:
Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over the first digit of the number.
Number of nets that they must bring is 320.
Each box contains 4 nets.
There number of boxes necessary to be brought is given by 
= 80.
Therefore the missing digit of number the number in the note is 8.
