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zysi [14]
3 years ago
11

How to find a local minimum of a function?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer:

  Find the places where the derivative is zero and the second derivative is positive.

Step-by-step explanation:

By definition, a function has a minimum where the first derivative is zero and the second derivative is positive.

That will be a "local" minimum if there are other points on the function graph that have values less than that. It will be a "global" minimum if there are no other function values less than that. A global minimum is also a local minimum.

__

On a graph, a local minimum is the bottom of the "U" where the graph changes from negative slope to positive slope.

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Pls help me asap!!!!
RUDIKE [14]

Answer:b

Step-by-step explanation:y=2x-3

5 0
3 years ago
Find the average rate of change of the function on the interval specified.
Gnom [1K]

The average rate of change of the function will be 63.

The average rate of change of the function is used to find the slope of the graphed function which can be calculated by the change in y value divided by the change in x value.

The average rate of change of function f(x) in the interval [a,b] can be calculated as avearge rate of change= (f(b)- f(a))/(b-a)

Here given function is g(x) = 7x³-4

which is defined in the interval [-3,3].

So using the defination of the average rate of change, The average rate of change= (g(3)-g(-3))/(3-(-3))

= {(7(3³)-4)-(7*(-3)³-4)}/(3-(-3))

= {(189-4)-(-189-4)}/(3+3)

= (185-(-193))/6

= (185+193)/6

= 378/6

= 63

Therefore the average rate of change of the function will be 63.

Learn more about the average rate of change function

here: brainly.com/question/10208814

#SPJ10

8 0
2 years ago
Width of a rectangle if the area is 60 cm2 and the length is 15 cm
Sedaia [141]

Width is 4

60 divide by 15 is 4.

6 0
3 years ago
What is the difference between a^3+b^3 and (a+b)^3?
mylen [45]
There is no different in both of them. if you used both of them in a math problem you would still get the same answer as if you use the other one.
5 0
4 years ago
Read 2 more answers
How many tiles that are each 14-3/8 inches in length can be cut from a larger piece of tile that is 100-5/8 inches long?
Dvinal [7]
(100 5/8) / (14 3/8)
(805 / 8) / (115/8) =
805/8 * 8 / 115 =
805 / 115 =
7 <===
6 0
3 years ago
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