1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexeev081 [22]
3 years ago
5

Let f(x) = cos(x) + 2x. Where does f have critical points?

Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

<em>f</em> has no critical points.

Step-by-step explanation:

We are given:

f(x)=\cos(x)+2x

A function has critical points whenever its derivative equals 0 or is undefined.

Differentiate the function:

f'(x)=-\sin(x)+2

Since this will never be undefined, solve for its zeros:

0=-\sin(x)+2

Hence:

\displaystyle \sin(x)=2

Recall that the value of sine is always between -1 and 1.

Thus, no real solutions exist.

Therefore, <em>f</em> has no critical points.

You might be interested in
Marvin's Tree Service purchased several spruce tree saplings.
aleksley [76]
I am sure it B hope I helped
6 0
3 years ago
Factor the expression completely. 1/4x + 19/4
puteri [66]

Answer: i think it is... x = -19

8 0
3 years ago
Help please and thank you
Akimi4 [234]
-6×-6=36
f-34=36
34+36=70
f=70
7 0
3 years ago
Need help It is working with functions and I need assistance
Ainat [17]

Answer: its 4. Look at the graph, x is horizontal and y is vertical (first go sideways then go up.) if coordinates are x,y then first go sideways when looking for x. they give you x. 7. then we go up. the graph intersects 7 at 4, therefore the coords are 7, 4 and your y coordinate is 4.

Step-by-step explanation:

5 0
3 years ago
Simplify and solve for x. ​ ​ 5(x+20)= 7x+30
hodyreva [135]

Answer:

x = 35

Step-by-step explanation:

Solve for x:

5 (x + 20) = 7 x + 30

Expand out terms of the left hand side:

5 x + 100 = 7 x + 30

Subtract 7 x from both sides:

(5 x - 7 x) + 100 = (7 x - 7 x) + 30

5 x - 7 x = -2 x:

-2 x + 100 = (7 x - 7 x) + 30

7 x - 7 x = 0:

100 - 2 x = 30

Subtract 100 from both sides:

(100 - 100) - 2 x = 30 - 100

100 - 100 = 0:

-2 x = 30 - 100

30 - 100 = -70:

-2 x = -70

Divide both sides of -2 x = -70 by -2:

(-2 x)/(-2) = (-70)/(-2)

(-2)/(-2) = 1:

x = (-70)/(-2)

The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:

Answer: x = 35

6 0
3 years ago
Read 2 more answers
Other questions:
  • The number of hours per week that high school seniors spend on computers is normally distributed, with a mean of 6 hours and a s
    11·1 answer
  • How to find perimeter of semicircle​
    9·1 answer
  • The formula for the surface area of a cube is S 5 6x2
    5·1 answer
  • Five swimmers entered a competition. Four of the swimmers have had their turns. Their scores are 10.8s, 10.75s, 10.79s and 10.81
    11·1 answer
  • What scale is this??
    9·1 answer
  • . Первый мастер может выполнить задание,
    6·1 answer
  • The middle of the skate ramp is 2.5 meters wide. Emelia and her father want to use a board that is 23.5 decimeters long. Is this
    15·1 answer
  • Is this a proportional relationship?<br> y = x + 4
    14·1 answer
  • What can we say about -R?<br><br>PLEASE HELP ME NOW!!!!!!
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx%20%5Csqrt%7Bx....%7D%20%7D%20%7D%20%7D%20%20%3D%20%
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!