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
yanalaym [24]
3 years ago
10

Please help! For the function f(x) = 2x^6 + 3x^4 - 4x^3 + (1/x) - sin(2x) find the first four derivatives.

Mathematics
1 answer:
klasskru [66]3 years ago
8 0

Answer:

See the explanation

Step-by-step explanation:

We know that

f(x) = 2x⁶ + 3x⁴ - 4x³ + (1/x) - sin2x

Lets calculate the derivatives:

f'(x) = 6(2x⁵) + 4(3x³) - 3(4x²) -( 1/x²) - 2(cos2x)

f'(x) = 12x⁵ + 12x³ - 12x² - (1/x²) - 2cos2x

Similarly:

f''(x) = 60x⁴ + 36x² - 24x + (2/x³) + 4sin2x

f'''(x) = 240x³ + 72x - 24 - (6/x⁴) + 8cos2x

Rearrange:

f'''(x) - 240x³ +72x - (6/x⁴) + 8cos2x - 24

f''''(x) = 720x² + 72 + (24/x⁵) - 16sin2x

Rearrange:

f''''(x) = 720x² + (24/x⁵) - 16sin2x +72

You might be interested in
What is the volume of the figure?
snow_tiger [21]
A the answer is 1296 but 756 is squared so it is  A ok thats easy i did that in 7th grade finally something i can do
5 0
3 years ago
Read 2 more answers
Phil is buying bags of grass seed.
Nikolay [14]

Answer:

D. Quickgrow

Step-by-step explanation:

You have to find the unit rate first. 120 acres divided by 12 cup of seeds, you get 10 acres for 1 cup of seeds. For green grass you get 7.6 acers for 1 cup of seed. Since your trying to figure out which brand of seeds can cover up more acers, 10 is greater than 7.6. Therefore Quickgrow would cover up more land.

Sorry is my explanation is confusing.

8 0
3 years ago
Read 2 more answers
A person died leaving behind inheritance of Rs. 300000. Distribute the amount among 4 sons and 3 daughters so that each son gets
yan [13]
S=2d

4s+3d=300000-80000

4s+3d=220000, now using s=2d in this equation you get:

4(2d)+3d=220000

8d+3d=220000

11d=220000

d=20000

So each daughter gets 20000 and each son gets 40000.
3 0
3 years ago
* Suzy Kicks a ball into the air. The
Misha Larkins [42]

Answer:

by the -16 did you mean to put a + sign or is that a t

5 0
3 years ago
The sum of -4 and -15 increased by 17
Aleks04 [339]

Answer:

- 2

Step-by-step explanation:

The sum of - 4 and - 15 = - 19

Increased by 17 means to add on 17 to the above result, that is

- 19 + 17 = - 2

5 0
3 years ago
Other questions:
  • 130​% of what number is 26
    15·2 answers
  • Find the surface area of the prism.
    15·1 answer
  • GEOMETRY TRANSLATIONS!! HELP WILL GIVE BRAINLIEST , BOGUS ANSWERS WILL BE REPORTED!!
    5·2 answers
  • What fraction is equivalent to 450 percent
    13·2 answers
  • for a car driving at a constant rate of 60 miles per hour, the table represents distance from a historical mile marker on the hi
    14·1 answer
  • How do I solve 4x+y=0 and 5x-y=9
    9·1 answer
  • I need help ASAPP, I did the graph for part b for number 7 but part A and part C I don’t understand.
    11·1 answer
  • Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent th
    7·2 answers
  • -7m+10&lt;-39<br> Solve the Inequality using the format M&lt;1
    7·1 answer
  • How do you solve something like this?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!