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:
Step-by-step explanation:
Method 1:
Arithmetic sequence is in the form
d is the common difference, can be found by:
Subtituting the 
and 
You get:
Method 2 (Mathematical induction):
Assume it is in form
Base step: 
Inducive hypophesis:
GIven: 
Proved by mathematical induction
8 x 5/8 = The ounces fed by Jeff
You need to convert 1/2 with the denominator of 8 with would be 4/8
8 x 4/8 = The ounces fed by Melody
HOPE THIS HELPS!!
Answer:
The farthest point is the Challenger Deep
Step-by-step explanation:
Given
Solving (a): The sea level
Both elevations had signs in front of them.
The sea level is the point at the neutral level, neither positive nor negative.
Hence:
Solving (b): Farthest Point.
The farthest point is the one with the highest magnitude.
Comparing
to
-35,797 ft has the highest magnitude.
Hence:
<em>The farthest point is the Challenger Deep</em>
Consecutive= One after another
17 + 18 = 35
Your two consecutive numbers are 17 and 18
