Find f”(x)=(3x^4+2)^5

Answers

Answer 1

Answer:

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

Step-by-step explanation:

we need to break this up using the chain rule

(3x⁴+2)=u

so we have

So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)

which is 12x³

we now need to take the derivative of u⁵=5u⁴

Mulitply these together

60x³u⁴=60x³(3x⁴+2)⁴

do the same thing again

60x³u⁴

we now need to do the mulitplication rleu

(60x³)'(u⁴)+(60x³)(u⁴)'

=

180x²u⁴+60x³*4u³

simplify

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

while you could do more to simplify it, it would get really messy


Related Questions

Why is a data point with an​ x-coordinate of 0 a good point to use when creating a trend line for a data​ set? The graph shows the altitude of a weather balloon over time. The trend line passes through the points ​(0​,481​) and ​(10,39,​). Write the equation of a trend line for the data shown in the graph. After how many minutes is the balloon at an altitude of 454.6 feet above sea​ level?

Answers

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

A linear equation is given by:

y =mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the altitude of the balloon at time x.

Given that a trend line passes through the point ​(0​,481​) and ​(10,39), the equation of the trend line is:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-481=\frac{39-481}{10-0}(x-0)\\\\y=-44.2x+481[/tex]

At 454.6 ft:

454.6 = -44.2x + 481

-26.4 = -44.2

t = 0.6 minutes

It takes the balloon 0.6 minutes to reach an altitude of 454.6 feet above sea​ level

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write in exponential notation (-3)^6/ (-3)

Answers

Answer:

-3⁵

Step-by-step explanation:

3⁶ / -3 = -3⁶ * -3⁻¹ = -3⁶⁻¹ = -3⁵

Answer:

(-3)⁶/(-3) = {(-3)×(-3)×(-3)×(-3)×(-3)×(-3)}/(-3) = (-3)⁵

-3⁵ is the right answer.

Determine whether the relationship being represented is linear, exponential or neither
f(x) = 1/4 (x + 3) +2

Answers

Answer:

linear

Step-by-step explanation:

if you graph it you can swe that it is linear

An aquarium tank is 3 feet long 1 foot wide and 2 feet high how many gallons of water would it take to fill the tank two thirds full a cubic foot is about 7.5 gallons

Answers

Answer: i believe it'll take 6 gallons to fill up the tank two thirds full

Step-by-step explanation: 3 x 1 x 2 = 6 gallons

Solve this system by substitution. y = 5x - 15 y = 2x - 6 *Remember to write your answer as a coordinate point (x,y Solve this system by substitution​

Answers

5x - 15 = 2x - 6
3x = 9
x = 3
Y = 5(3) - 15
Y = 0
(3,0)

Write an equation for line L in mpoint-slope form and slope-intercept form.
L is perpendicular to y = 5x.

Answers

Answer:

X and A half marks Nathan and na ha na na he and na na he Meena new q me new me know if you

Step-by-step explanation:

erert4 Ka a manual Mrs Ann messed hall hall USS jam

PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST

Answers

There are 3 rectangles and 2 triangles in the prism

rectangles: (12 × 10) + (9 × 10) + (15 × 10)

triangles: 2 × (1/2 × 9 × 12) = 9 × 12

Add them all up and you get the answer of 468 in²

Yes I agreee. 5=chihhhhhhhhhhhhhhhh

Which word best describes the degree of overlap between the two data sets?

moderate

high

none

low
Two line plots with the same scale and interval, from ten to twenty, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has fourteen data values. Values appear as x marks above the line. Upper plot data values are one x mark above eleven, one x mark above twelve, two x marks above thirteen, two x marks above fourteen, four x marks above fifteen, three x marks above sixteen, and one x mark above seventeen. Lower plot data values are one x mark above 11, one x mark above twelve, one x mark above thirteen, two x marks above fourteen, four x marks above fifteen, three x marks above sixteen, and two x marks above seventeen.

Answers

Answer:

I think it's moderate

The word that best describes the degree of overlap between the two data sets is "moderate."

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We have to find the word which  best describes the degree of overlap between the two data sets.

Two line plots with the same scale and interval, from ten to twenty, with tick marks every one unit.

The word that best describes the degree of overlap between the two data sets is "moderate."

The two data sets have some values in common, but there are also some differences between them.

Hence, word that best describes the degree of overlap between the two data sets is "moderate."

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Wes is ordering nachos at a restaurant, and the server tells him that he can have up to three toppings: black olives, guacamole, and chicken. Since he cannot decide how many of the toppings he wants, he tells the server to surprise him. If the server randomly chooses which toppings to add, what is the probability that Wes gets just black olives and guacamole

Answers

Answer:

2/9

Step-by-step explanation:

Possible outcomes: olives, olives and guacamole, olives and chicken, guacamole, guacamole and olives, guacamole and chicken, chicken, chicken and olives, chicken and guacamole = 9 possible outcomes

way to achieve just black olives and guacamole = 2

possibility is 2 over 9 = 2/9

Raul started a plant garden and started collecting lots of soil to grow his plants. His supply of soil grows by 8% per week. If he starts with 14 kg of soil, how much does he have after 16 weeks? Round your answer to the nearest hundredth (two decimal places). I​

Answers

14k becasue I just thought of that

Sidney wants to increase the amount of
time he spends studying.

Answers

thats reallly good for sidney

Answer:

if this is ur question, then ur answer is 53

Wich one does not belong , And why..?

veiw the image

Answers

Answer:

2x+3

Step-by-step explanation:

the upper left, upper right, and lower right are all using distributive property. The lower left is not.

Solve the system of equations
X - 3y + z = 1
2x - y - 2z = 2
X+ 2y - 32 = -1

Answers

Answer:

 {x = -3 , y = 4 , z = 0

Step-by-step explanation:

Michael used a ruler to measure the length of a rope and he found that it was 7 ½ feet long. What is the length of that rope in yards?

Answers

Answer:

hi mai Ankit Kumar and smart ways of learning and smart ways of learning and smart and the other day

— 6р = 48
p=
I need help please

Answers

p=- 8. Divide both sides by -6.

Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.

Answers

Answer:

c it offers lower interest rates

the equation A=6s to the power of 2 can be used to calculate A the surface area of the cube with edges lengths using this equation what is the surface area of a cube with an edge length of 5 inches?

Answers

Answer:

150 in^2

Step-by-step explanation:

The surface area, in general, is A = 6s^2, where s is the length of one side of the cube.

If the edge length is 5 in, then the surface area of the cube is

A = 6(5 in)^2 = 6(25 in^2) = 150 in^2

Isabella earned $129.60 at her job when she worked for 6 hours. How much money
did she earn each hour?

Answers

Answer:

21.6

Step-by-step explanation:

you divide 129.60 by 6 and you get 21.6.

Please help me
Evaluate 7+2^3
Answer:________

Answers

Answer:

9^...................

Answer:

15

Step-by-step explanation:

2³ is the same as 2 x 2 x 2 or 8. 8 + 7 is 15.

Hope it helps!

what is the monthly interest payment for an account with a balance of $200.00 and an A.P.R of 18%

Answers

Answer:

Find the monthly rate: Divide the APR by 12. : 18/12= 1.5

Multiply that the monthly rate by the amount of the loan: $200X1.5% = 3.-

$3.- is the monthly interest payment

whichis the equation of a line thats has a slope of -2/3 and passes through point (-3,-1) ​

Answers

Answer:

D. [tex]y=-\frac{2}{3}x-3[/tex]

Step-by-step explanation:

If you use Desmos and enter (-3,-1) then enter your lines you can match them up.

6.1 - 5.4 - ( 7.7)

help

Answers

Answer:

-7

Step-by-step explanation:

i used a calculator

-7
You know I just used a calculator

Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue. What is the probability that
the coin flips heads, and
the spinner lands on either red or blue?
Enter your answer as a percentage, to the nearest percent.

Answers

Answer:

1/3 ! i think?

Step-by-step explanation:

there's a 1/2 chance it lands on heads and a 2/3 chance it lands on red or blue and 1/2 x 2/3 is 1/3

The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.

Calculation of the probability:

Since Leah flips a coin, and then she spins a spinner with 3 equal sections colored red, green, and blue.

Since there is half chance for heads and 2 by 3 for landing on red or blue

So, the probability should be

[tex]= 1/2 \times 2/3 \\\\= 1/3[/tex]

Hence, The probability that the coin flips heads, and the spinner lands on either red or blue is 1 by 3.

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Larry made 2.5 liters of orange juice and drank 750 milliliters of it. How much orange juice is left?

Answers

Answer:

1.75 liters is left

Step-by-step explanation:

1ml is 1000ml

Answer:

1,750 milliliters left.

Step-by-step explanation:

2.5 liters equal 2,500 milliliters. So u do 2,500 - 750 which gives you 1,750

Which two expressions are equivalent to 5^2/5^8
A 1/5^6
B 1^-6
C (5^2)^-3
D (5^2)^-8

Answers

Answer:

Carbon (C), nonmetallic chemical element in Group 14 (IVa) of the periodic table. Although widely distributed in nature, carbon is not particularly plentiful—it makes up only about 0.025 percent of Earth's crust—yet it forms more compounds than all the other elements combined.

Answer:

a and c

Step-by-step explanation:

What is 5.23 divided by 9

Answers

0.581 i used a calculator

Answer:

[tex]\frac{5.23}{9} = 0.581111[/tex]

Step-by-step explanation:

5.23 / 9 = 0.5811111

For the given central angle, determine the distance traveled along the unit circle from the point (1, 0). 360 degrees a. 6.28 units clockwise c. 3.14 units clockwise b. 6.28 units d. 3.14 units

Answers

Answer:

The length of a 180° arc of a unit circle is π ≈ 3.14 units.

Step-by-step explanation:

Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to

... (180°/360°) × circumference = (1/2)×circumference

For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.

Answer:

I can't give a "smart" explanation but the answer is D) 3.14 units

If the expression (2x⁴)³ was written in axb form, which of the following would be the sum of a and b?

Answers

Answer:

20

Step-by-step explanation:

cube everything in the ( )

2^3(x^4)^3

you get 8x^12

8 +12 =20

The sum of a and b according to the expression solved is 20.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, the expression (2x⁴)³ was written in axᵇ form,

We will get,

(2x⁴)³ = 8x¹²

Here, a = 8 and b = 12

The sum = 20

Hence, the sum of a and b according to the expression solved is 20.

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I need the answers ASAP •_•

Answers

Answer:

17) vertical

18) vertical

19) vertical

20) adjacent

Pls help I need it now pls

Answers

Answer:

it would be D because x is based off of the x axis so when it moves left to right. And y is y axis so it moves up and down.

Step-by-step explanation:

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