Plz help if understand this problem

Plz Help If Understand This Problem

Answers

Answer 1
Answer:  [tex]0.5x^7[/tex]

This is the same as typing in 0.5x^7

Other equivalent forms are (1/2)x^7 or (x^7)/2

=====================================================

Work Shown:

[tex]\frac{d}{dx}\left[f(x^2)\right] = x^8\\\\f'(x^2)*\frac{d}{dx}(x^2) = x^8\\\\f'(x^2)*2x = x^8\\\\f'(x^2) = \frac{x^8}{2x}\\\\f'(x^2) = \frac{x^7}{2}\\\\f'(x^2) = \frac{1}{2}x^7\\\\f'(x^2) = \boldsymbol{0.5x^7}\\\\[/tex]

I used the chain rule on the second step. The chain rule will apply the derivative to the outer function f(x^2). Then we also apply the derivative to the inner function x^2 to get 2x, which is multiplied with f ' (x^2). From that point, we isolate f ' (x^2).

Side note: When applying the first derivative, it might help to think of f(x^2) as simply f(x) on a temporary basis.


Related Questions

I want to know how to find the area of polygon.

Answers

Answer:

The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].

Step-by-step explanation:

{NOBITA}

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Find the apothem of the polygon. If you're using the apothem method, then the apothem will be provided for you. Let's say you're working with a hexagon that has an apothem with a length of 10√3.

Step-by-step explanation:

but for a rectangle the area formula is

width*height

for a trapezoid area formula is 1/2(base1+base2)*height

for a hexagon area formula is

area = (3/2) · sqrt(3) · s2

Help!!!!!!please help i will fail

Answers

Answer:

WHAT is to solve their is notting

Step-by-step explanation:

The football team has a total of 350 jerseys. There are 154 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?


Pls help me

Answers

Answer:

Step-by-step explanation:

Given : The total number of jerseys = 350

The number of medium-sized jerseys = 154

Then, the percent of the jerseys are medium-sized jerseys will be :-

\begin{gathered}\dfrac{\text{Number of medium-sized jerseys }}{\text{Total jerseys}}\times100\\\\=\dfrac{154}{350}\times100\\\\=0.44\times100=44\%\end{gathered}

Total jerseys

Number of medium-sized jerseys

×100

=

350

154

×100

=0.44×100=44%

Therefore , the percent of the jerseys are medium-sized jerseys = 44%
your answer would be 44%

Inequality word problem
Step by step and explanation pls do the problem or report

Answers

Answer:

  34 hours or more

Step-by-step explanation:

If h is the number of hours Jack works, then his earnings will total 15h. He wants that to be at least 500. The appropriate inequality is ...

  15h ≥ 500

  h ≥ 33 1/3 . . . . . divide by 15

Jack needs to work 34 hours or more to earn at least $500.

What is the volume of a cone

Answers

what is the radius and height of it?

The Smith family goes out for lunch, and the price of the meal is $45.The sales tax on the meal is 6%, and the family also leaves a 20%tip on the pre-tax amount. What is the total cost of the meal?

Answers

Answer:

$56.70

Step-by-step explanation:

45 x 6% = 2.7 Multiply price of meal with the percentage of sales tax

45 x 20% = 9 Multiply price of mean with the percentage of tip

$9 is the tip amount

$2.70 is the sales tax

$45 + $2.70 + $9 = $56.70. Add the price of the meal with the sales tax and tip amount to get the total cost of the meal.

limx→0
tan x − x
x − sin x

Answers

Answer:

Please understand me download an math algebra in play store

Hello hello helppppppppppppp

Answers

Answer:
5 units left and 2 units down

Answer:

the person anove is correct

Step-by-step explanation:

Sofia walks from her house to the park. She reaches the park at 5 5 : : 25 25 . If it is a 40 40 -minute walk, what time did she leave her house?

Answers

Answer:

4:45

Step-by-step explanation:

hope this helps

PLEASE HELP!!!
True or false
3(x-2) and 3x-6 are
equivalent

Answers

Answer:

true!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

True.

Step-by-step explanation:

They are equivalent expression because if you distribute the 3 in 3(x-2), you will get the same expression as 3x-6.

3(x-2) =

(3*x) - (3*2) =

3x - 6

Hope this helps.

is 0.75 degrees Celsius a negative temperature or positive temperature

Answers

Answer:

Positive

Step-by-step explanation:

Anything below 0 is negative. 0.75 > 0

I have a Statistics question​

Answers

Answer:

we're your question

Step-by-step explanation:

again please

Answer:

Yes

Step-by-step explanation:

what is it

Which equation below compares the amount of medicine, S, in Sofia’s system with the amount of medicine, L, in Lexi’s system? L = 16 x S S = 16 x L L = 4 + S S = 4 + L

Answers

Answer:

L=16xS

Step-by-step explanation:

answer thisssssssssssssss

Answers

Angles ACE and BAC are congruent because they are alternate interior angles
ACE = 115

angles ABC and DCB are congruent because they are alternate interior angles
DCB =35

and for angle ACB we do
ACE + ACB + DCB = 180
115 + ACB + 35 = 180
ACB = 180 - 115 - 36
ACB = 29

2 x 5 x 0 please help

Answers

0

0 multiplied by anything is going to always be 0

Help I need help solving this!

Answers

Answer:

Step-by-step explanation:

Keri has some ball bearings. Each one is in the shape of a sphere with a radius of 6 mm.
(a) Find the volume of one ball bearing. Give your answer in mm3 in terms of pi

Answers

What kind of balls??

derivative for the function of t3+k/t=​

Answers

Answer:

Step-by-step explanation:

I will ASSUME you want the derivative with respect to "t" of the equation

f(t) = t³ + kt⁻¹

f'(t) = 3t² - kt⁻²          which can also be     3t² - k/t²

I been on this for days and no one can give me a right answer ​

Answers

Answer:

2x²=6x-5= x=3+i/2

-x²-10x=34= x = -(5+3i)

Step-by-step explanation: 2x²=6x-5 and -x²-10x=34 are the answers

please help ill mark brainliest​

Answers

Answer:

Pretty sure it is SAS as the angles are congruent

Step-by-step explanation:

Answer:

number 4

Step-by-step explanation:

both triangles use the aa as a point

Ten men and ten women are to be put in a row. Find the number of possible rows if Beryl, Carol, and Darryl want to stand next to each other in some order (such as Carol, Beryl, and Darryl, or Darryl, Beryl and Carol).

Answers

Answer: 6 possibilities.

Carol, Beryl, and Darryl

Carol, Darryl, and Beryl

Darryl, Carol, and Beryl

Darryl, Beryl, and Carol

Beryl, Darryl, and Carol

Beryl, Carol, and Darryl

Hope this helps :)


If x is increasing at a
rate of 2 units per second,
find the rate of change of theta
at the instant when x= 12 units.

Answers

Answer:

[tex]\frac{d\theta}{dt}=-\frac{2}{5}[/tex] at [tex]x=12[/tex]

Step-by-step explanation:

[tex]\frac{dx}{dt}=2[/tex]

[tex]\frac{d\theta}{dt}=?[/tex]

[tex]x=12[/tex]

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

[tex]cos(\theta)=\frac{x}{13}[/tex]

[tex]\frac{d}{dt}cos(\theta)=\frac{d}{dt}\frac{x}{13}[/tex]

[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{1}{13}\frac{dx}{dt}[/tex]

[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{1}{13}(2)[/tex]

[tex]-sin(\theta)\frac{d\theta}{dt}=\frac{2}{13}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(\theta)}[/tex]

[tex]cos(\theta)=\frac{x}{13}[/tex]

[tex]cos(\theta)=\frac{12}{13}[/tex]

[tex]\theta=cos^{-1}(\frac{12}{13})[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(\theta)}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13sin(cos^{-1}(\frac{12}{13}))}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-13(\frac{5}{13})}[/tex]

[tex]\frac{d\theta}{dt}=\frac{2}{-5}[/tex]

[tex]\frac{d\theta}{dt}=-\frac{2}{5}[/tex]

The value of θ is given by the inverse sine function, from which the rate of

change of θ with respect to x can be derived.

The rate of change of θ at the instant when x = 12 units is -0.4 rad/s

Reasons:

[tex]\displaystyle \frac{dx}{dt} = \mathbf{2 \ units \ per \ second}[/tex]

[tex]\displaystyle cos(\theta) = \frac{x}{13}[/tex]

[tex]\displaystyle \theta = arccos \left(\frac{x}{13}\right)[/tex]

[tex]\displaystyle \frac{d}{dx} \theta = \frac{d\left(arccos \left(\frac{x}{13}\right)\right)}{dx} = \mathbf{\frac{\sqrt{169-x^2} }{x^2-169}}[/tex]

Using chain rule of differentiation, we have;

[tex]\displaystyle \frac{d\theta}{dt} = \mathbf{ \frac{d\theta}{dx} \times \frac{dx}{dt}}[/tex]

Therefore;

[tex]\displaystyle \frac{d\theta}{dt} =\frac{\sqrt{169-x^2} }{x^2-169}\times \frac{dx}{dt} = \mathbf{\frac{\sqrt{169-x^2} }{x^2-169}\times 2}[/tex]

When x = 12, we get;

[tex]\displaystyle \frac{d\theta}{dt} =\frac{\sqrt{169-12^2} }{12^2-169}\times 2 = -\frac{2}{5} = -0.4[/tex]

The rate of change of the angle, θ, with time at the instant when x = 12 is -0.4 rad/s

Learn more about rate of change here:

https://brainly.com/question/24686935

I need help please I don’t know what to it is due today

Answers

Answer:

12 blue necklaces + 12 red necklaces = 24 necklaces. He will have 1 blue bead left over and 1 red bead left over.

Step-by-step explanation:

37/3 = 12.333 or 12 r1

25/2= 12.5 or 12 r1

1+1=2

1 red and 1 blue bead left over

There are 110 students on the team. 100% of them will be off for break. How many students are on break?

Answers

Answer:

110

Step-by-step explanation:

100% of 110 means all of 110, which is just 110.

Are you sure you didn't make a typo here because I'm pretty sure this wouldn't be given on a homework. Just wondering.

If A = -3n + 2, and B = 5n - 7, what is the value of A - B, in simplest form?

Answers

Answer:

2n-5

Step-by-step explanation:

So you would combine your like terms witch would be -3n+5n which would give you 2n then you would do 2-7 and get -5 then you get you answer 2n-5

The value of (A - B) in the simplest form is (A - B) = -8n + 9.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equations are A = -3n + 2 and B = 5n - 7.

The value of A - B is:

A - B

= -3n + 2 - (5n - 7)

= -3n + 2 - 5n + 7

= -8n + 9

Hence, the value of (A - B) in the simplest form is (A - B) = -8n + 9.

Learn more about equations here:

https://brainly.com/question/10413253

A= 1/2bh
solve for b

Answers

Ok done. Thank to me :>

Answer:

A = bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

b=2A/H

Step-by-step explanation:

For each equation find a value for x that makes the equation true 10=3x-6

Answers

Answer:

5.3333

or 5 and 1/3

Step-by-step explanation:

10 = 3x - 6

add six

16 = 3x

divide by 3

5.3333 = x

I hope this helps!!

Kripa’s father is 35 years younger than her grandfather, and 40 years older than her. If the sum of the ages of the three is 160 years, let’s find her grandfather’s age?

Answers

Answer:

90 years

Step-by-step explanation:

if Kripa's age = x

Father's age = x + 40

Grandfather's age = (x + 40) + 35 = x + 75 (father is 35 years younger than grandfather i.e. grandfather is 35 years older than father)

x + x + 40 + x + 75 = 160

=> 3x = 160 - 115

=> x = 45/3 = 15

grandfather's age = x + 75 = 90 years

Answer:

90 years

Step-by-step explanation:

x + x + 40 + x + 75 = 160

=> 3x = 160 - 115

=> x = 45/3 = 15

Grandfather's age = x + 75 = 90 years

9. What conversion factor can you use to convert miles to inches? Explain how you found it.​

Answers

Answer:

You know that 1 mile = 5280 feet and 1 foot = 12 inches, so using these conversion factors you can go from one to the other.

I hope this answered you question!

Step-by-step explanation:

The bar chart shows the number of students with each letter grade in a certain professor's math classes. Since students need at least a C for the grade to transfer, the professor groups all grades that are less than C into one category instead of grouping D's and F's separately.

How many fewer students have less than C's than have C's?

A 212
B 612
C 123
D 89

Answers

Answer:

Since students need at least a C for the grade to transferdes that are less than C into one category instead of grouping D's and F's separately. How many ...

A would be correct in this situation! You had it right
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