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
Igoryamba
3 years ago
6

How to solve for first derivative?? I have two questions, one where I have the answer, however one where I don’t. The format of

the answer must be similar to the first question. But how to find first derivative for second question?

Mathematics
1 answer:
rjkz [21]3 years ago
5 0

Answer:

Q1: f'(x) = (-6x^8 + 2x^4 + 4)(48x^7) + (6x^8)(-48x^7 + 8x^3)

Q2: f'(x) = (6x^4)(18x^2 - 54x^8) + (6x^3 - 6x^9 + 3)(24x^3)

Step-by-step explanation:

The derivative of the product of two functions is:

f(x) = v(x)u(x)

f'(x) = v(x)u'(x) + u(x)v'x)

The derivative is the product of the first function and the derivative of the second function added to the product of the second function and the derivative of the first function.

Q1: The function you are given is:

f(x) = 6x^8(-6x^8 + 2x^4 + 4)

You can think of that function as the product of functions

u(x) = 6x^8 and v(x) = -6x^8 + 2x^4 + 4

We first find the derivatives of functions u and v:

u'(x) = 48x^7 and v'(x) = -48x^7 + 8x^3

Now we follow the rule above:

f'(x) = v(x)u'(x) + u(x)v'x)

f'(x) = (6x^8)(-48x^7 + 8x^3) + (-6x^8 + 2x^4 + 4)(48x^7)

Use the commutative property to change the order of the sum.

f'(x) = (-6x^8 + 2x^4 + 4)(48x^7) + (6x^8)(-48x^7 + 8x^3)

This is the solution you have.

Q2: The function you are given is:

f(x) = 6x^4(6x^3 - 6x^9 + 3)

You can think of that function as the product of functions

u(x) = 6x^4 and v(x) = 6x^3 - 6x^9 + 3

We first find the derivatives of functions u and v:

u'(x) = 24x^3 and v'(x) = 18x^2 - 54x^8

Now we follow the rule above:

f'(x) = v(x)u'(x) + u(x)v'x)

f'(x) = (6x^4)(18x^2 - 54x^8) + (6x^3 - 6x^9 + 3)(24x^3)

You might be interested in
rectangle DOIT has vertices at D(-20,3) O(20,3) I(20,-6) T(-20,-6) what is the area of rectangle DOIT
AnnZ [28]

Answer:

360 sq. units

Step-by-step explanation:

area of DOIT = (20+20) × (3+6)

= 40×9 = 360 sq. units

7 0
3 years ago
URGENTEE. NON SO RISOLVERE QUESTO PROBLEMA.
Marrrta [24]

the question in English


Draw a rectangle having the base congruent to the nine sevenths of the height.

Let

b-------> the base of rectangle

h-------> the height of rectangle

we know that

b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height

examples

1) for h=7 units

b=(9/7)*7-------->b=9 units

the dimensions are 9 units x 7 units------> see the attached figure

2) for h=5 units

b=(9/7)*5-------->b=(45/7) units

the dimensions are (45/7) units x 5 units

The answer in Italian

Facciamo

b-------> base del rettangolo

h-------> altezza del rettangolo

Noi sappiamo che

b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza

esempi

1) per h=7 units

b=(9/7)*7-------->b=9 units


le dimensioni sono 9 units x 7 units-----> vedere la figura allegata

2) per h=5 units

b=(9/7)*5-------->b=(45/7) units


le dimensioni sono (45/7) units x 5 units

4 0
3 years ago
Can someone help me in this question?
igomit [66]

Answer:

3347000 cm is 33.47 km to cm

3347000/64=

401.92 is the circumference

since it is pi * d

do 3347000/401.92

8327.52786624 round to

8327 full revolutions

3 0
3 years ago
Read 2 more answers
How do I solve x+4y=22<br> -x+5y=23
xxTIMURxx [149]
{ x + 4y = 22     ( + x - x = 0 )
{ - x + 5y = 23

4y + 5y = 22 + 23
9y = 45
  y =<u> 45 </u>
         9
  y = 5

x + 4y = 22
x + 4 . 5 = 22
x + 20 = 22
x = 22 - 20
x = 2

S = { 2 , 5 }


3 0
3 years ago
Read 2 more answers
Consider (cosine (StartFraction pi Over 2 EndFraction) = I sine (StartFraction pi Over 2 EndFraction) ) and z = 3 (cosine (Start
Vladimir79 [104]

Answer:

B

Step-by-step explanation:

got it right on EGDE 2020

7 0
3 years ago
Other questions:
  • On a piece of paper, graph y = 2x - 4. Then determine which answer matches<br> the graph you drew.
    9·1 answer
  • What is the justification for each step in the solution of the equation?
    5·1 answer
  • Micheal plays 1/5 of a song in 1/15 of a minute how Much time will it take for him to play the entire song?
    8·2 answers
  • Find the values of a, b and c in the equation below (x^5yz^4)^3/x^3yz= x^a y^b z^c
    6·1 answer
  • How to solve for a variable
    11·2 answers
  • Find a geometric representation for the following sequences of<br> numbers.<br><br> 3, 4, 5, 6, 7, …
    11·1 answer
  • How to write 20,136 in scientific notation
    14·1 answer
  • Find the volume of a right circular cone that has a height of 12.7 m and a base with a circumference of 18.9 m. Round your answe
    9·1 answer
  • There are (10^8)^2 ⋅ 10^0 candies in a store. What is the total number of candies in the store?
    11·1 answer
  • Evaluate each expression.<br> 8/7 + 4/7
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!