Differentiate y=2x+200/x with respect to x

Answers

Answer 1

Answer:

Hello,

[tex]\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]

Step-by-step explanation:

[tex](f(x)+g(x))'=f'(x)+g'(x)\\\\(2x)'=2*(x)'=2*1=2\\\\(\dfrac{200}{x} )'=200*(x^{-1})'=200*(-1)*x^{-1-1})=-\dfrac{200}{x^2} \\\\\\\boxed{y'=2-\dfrac{200}{x^2} }\\[/tex]

Answer 2

Answer:

[tex] \frac{dy}{dx } = 2 - \frac{200}{ {x}^{2} } [/tex]

Step-by-step explanation:

[tex]the \: equation \: can \: be \: rewriten \: as \\ y = 2x + 200 {x}^{ - 1} \\ \\ now \: differentiate \: the \: equation\ \\ \frac{dy}{dx} = 2 - 200 {x}^{ - 2} \\ \frac{dy}{dx} = 2 - \frac{200}{ {x}^{2} } [/tex]


Related Questions

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
4L TO 7.2 L

Answers

9514 1404 393

Answer:

  5/9

Step-by-step explanation:

  [tex]\dfrac{4\text{ L}}{7.2\text{ L}}=\dfrac{40}{72}=\dfrac{5\cdot8}{9\cdot8}=\boxed{\dfrac{5}{9}}[/tex]

Plz help and explain if this is a parallelogram​

Answers

Answer:

It is a parallelogram!

Step-by-step explanation:

This is because it has four sides and all the sides have parallel lines if that makes sence.

Strontium-90 has a half-life of about 28 years. Which equation will solve the problem of how many grams of a 40 g sample
will remain after 84 years?
Oy = }(40)
y = {(40)
Oy = 40(1)
y = 40()
84

Answers

Answer:a0 = 40 mg

a1 = 20 mg  after 28 years

a2 = 10 mg  after another 28 years

Step-by-step explanation:Set this up as

10 = 40 (1/2)t/28

and solve for t in years.

10/40 = (1/2)t/28

log(0.25) = (t/28) log(0.5)

t = 28 log(0.25) / log(0.5) years = 56 years

Answer:

40 mg

Step-by-step explanation:

10 = 40 (1/2)t/28   and solve for t in years.   10/40 = (1/2)t/28   log(0.25) = (t/28) log(0.5)   t = 28 log(0.25) / log(0.5) years = 56 years

Which expression is equivalent to:
15x + 20y
5(4x+3y)
5(3x+4y)
5y(3x + 4)​

Answers

Answer:

5(3x+4y)

Step-by-step explanation:

Three jackets cost as much as five shirts. Each jacket costs $16 more
than each shiri. What is the cost of one shirt?

Answers

Answer:

$3.20

Step-by-step explanation:

Divide the number 16 (as in the cost per Jacket) by 5. (The amount of shirts you could buy with $16)

Then once you have divided 16 by 5, your answer should be 3.2, so the cost of one shirt is $3.20

I need help on this one please

Answers

Hi

Income tax is  progressive

So with  50 000  we have  :  

0.02*3000 + 0.03 ( 5000 -3001) + 0.05 ( 17 000-5001) + 0.0575 ( 50 000 - 17 001) =  60+ 59.97+599.95 + 1897.44 =  2617.36

tax is = 2617.36

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

(2)
Study the figure below and use the counting square method to determine
the perimeter and area of the diagram in the grid. The idea for using the
counting squares is to enable you to develop the formulae that can be used
to calculate the area and perimeter of a rectangle.
2
G
7
8 9
12 LIS
o 23 24 25
2427128129130
3132333435
363 ks halu
L22HLLLS 4.12712849 Sos: S-3 54 55
56 57 58 591696162163164165 66 67 68 69174
772 19L4214277879808182838485
66 87 88 89 90 91 92 93 94 95 96 97 98 99 100
5
plu2!3114
Gise 2212 213 24 2a2a134
8
Adapted from Tess-India (Elementary Mathematics)
Explain step by step, how you arrived at your answer to determine the area
and perimeter of the figure in the grid paper.​

Answers

The perimeter of a shape is the summation of the visible lengths of the figure. The area; however, is the product of the length and the width of the figure

The perimeter of the figure is 58 units and the area of the figure is 130 unit square

Your question is not properly formatted and the diagram required to solve the question is missing. I've included the appropriate diagram.

Having said that, the perimeter is:

Perimeter = sum of all sides

[tex]Perimeter = 7 + 8 + 5 + 8 + 3 + 6 + 3 + 5 + 7 + 6[/tex]

[tex]Perimeter = 58[/tex]

To calculate the area, we use a different approach.

First, we split the figure into 3, we then calculate the area of each sub-figure, and then we add up the calculated areas.

From left to right, we have:

Rectangle 1

[tex]Length = 7\\Width = 6[/tex]

Rectangle 2

[tex]Length = 5\\Width = 6+8 = 14[/tex]

Rectangle 3

[tex]Length = 3\\Width = 6[/tex]

The area of a rectangle is:

[tex]Area = Length * Width[/tex]

So, the area of the figure is:

[tex]Area = 7 * 6 + 5 * 14 + 3 * 6[/tex]

[tex]Area = 130[/tex]

Learn more at:

https://brainly.com/question/2649416

The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 72 miles per hour, and the average speed of the car ride was 62 miles per hour. The entire trip lasted 6 hours.
Let x be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.

Answers

Answer:

432

Step-by-step explanation:

x=1hr (6x)=6hours x= 72 hours through train so (6x)=72x6=432

The family trip to Grandma's consisted of both a train ride and a car ride. The average speed of the train ride was 72 miles per hour, and the average speed of the car ride was 62 miles per hour. The entire trip lasted 6 hours.
Let x be the number of hours the train ride lasted. Write an expression for the total distance of the trip, in miles.
Answer-432

Derivatives concept:
Exercises using the definition of derivatives:

(Full development)

Answers

(A) f(x) = 7 is constant, so f(x + h) = 7, too, which makes f(x + h) - f(x) = 0. So f'(x) = 0.

(B) f(x) = 5x + 1   ==>   f(x + h) = 5 (x + h) + 1 = 5x + 5h + 1

==>   f(x + h) - f(x) = 5h

Then

[tex]\displaystyle f'(x) = \lim_{h\to0}\frac{5h}h = \lim_{h\to0}5 = 5[/tex]

(C) f(x) = x ² + 3   ==>   f(x + h) = (x + h)² + 3 = x ² + 2xh + h ² + 3

==>   f(x + h) - f(x) = 2xh + h ²

[tex]\implies\displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2}h = \lim_{h\to0}(2x+h) = 2x[/tex]

(D) f(x) = x ² + 4x - 1   ==>   f(x + h) = (x + h)² + 4 (x + h) - 1 = x ² + 2xh + h ² + 4x + 4h - 1

==>   f(x + h) - f(x) = 2xh + h ² + 4h

[tex]\implies \displaystyle f'(x) = \lim_{h\to0}\frac{2xh+h^2+4h}h = \lim_{h\to0}(2x+h+4) = 2x+4[/tex]

Read the image for instructions

Answers

Answer:

4 ther are 4 line symmetery

Answer:

two lines of symmetry

(a vertical and a horizontal)

Change the following fractions to 24ths.

3/4= ??
5/6= ??

Answers

18/24, 20/24

Step-by-step explanation:

3/4=?/24

5/6=?/24

3X6=18

4X6=24

5X4=20

6X4=24

Answer:

7/8 = 21/24

5/6 = 20/24

3/4 = 18/24

Step-by-step explanation:

What you do to the denominator, you do the same to the numerator.

[tex]\frac{7}{8} * \frac{3}{3} = \frac{21}{24}[/tex]

[tex]\frac{5}{6} * \frac{4}{4} = \frac{20}{24}[/tex]

[tex]\frac{3}{4} * \frac{6}{6} = \frac{18}{24}[/tex]

What is 17,210,000,000 written in scientific notation?

Answers

Answer and Step-by-step explanation:

The answer is 1722.1 x [tex]10^8[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

1.72x10^10

Step-by-step explanation:

POSITIVE EXPONENT: means a number is huge

NEGATIVE EXPONENT: indicates a number is teeny-tiny

5/\sqrt{x} +1+4/\sqrt{x} -1-8\sqrt{x}/x-1

Answers

Answer:

535525-62635-$6#62626636$66$6$63663636$6$62

brainly is dustbin

Staff at a fast food restaurant make up the cleaning solution in their spray bottles from a concentrate. In each 300mL bottle they pour 50mL of concentrate and fill the bottle the rest of the way with water. What is the ratio of concentrate to water used?

Answers

Answer:

1 : 5

Step-by-step explanation:

So 50mL is for thye concentrate then the rest is water which means the water is 300mL - 50mL = 250mL of water.

Ratio of concrentrate to water = 50mL: 250mL

To write a ratio you first write down the one stated first then the other one.

50mL : 250mL CAN BE SIMPLIFIED. This is done by dividing both parts by the highest common factor which is 50.

It then becomes 1 : 5.

HOPE THIS HELPED

. Tachycardia means ...................heart rate a) fast b) slow c) irregular d) arrhythmic

Answers

Answer:

no entiendo inglés........,

Hi,

Answer:

Tachycardia is a fast heart rate

find the common ratio of the geometric sequence 4,3,9/4

Answers

Answer:

3/4

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

3/4

Check with the third and second terms

9/4 ÷3

9/4 *1/3= 3/4

The common ratio is 3/4

Write the degree of the following polynomials.
a⁴+a³b²+a²b²+b⁵​

Answers

Answer:

downloadable content of the year and I have a nice day ahead of

Answer:

5

Step-by-step explanation:

The highest cumulative degree of variables is the degree of the polynomial.

a⁴+a³b²+a²b²+b⁵​4, 5, 4, 5

As we see the highest degree is 5

HELP I NEED TO FIND THE COORDINATES OF THE POINTS

Answers

Answer:

The coordinate of any given point can be written as (x, y), where x is the x coordinate, and y is the y coordinate.

For example, point A has an x coordinate (horizontal) of 5, and a y coordinate (vertical) of 6. So the ordered pair is (5, 6).

Similarly, for the rest we have:

B: (-5,5)

C: (-2,3)

D: (-2,-2)

E: (3,-4)

F: (3,-6)

through: (3, - 3); slope = 2/3

Answers

Answer:

y=2/3x - 5

Step-by-step explanation:

Since we have the slope and a point, we can make an equation in point intercept form (y=mc+b) by using the point slope form formula (y-y1)=m(x-x1), where (x1,y1) is the point you plug in.

(y-y1)=m(x-x1)

m=2/3

y1=-3

x1=3

y- -3=2/3(x-3)

y+3=2/3(x-3)

Distribute 2/3 with (x-3) by multiplying

y+3=2/3x - 2

Subtract 3 from both sides

y=2/3x - 5

How do I solve 15+5²÷5×3?​

Answers

Answer:

30

Step-by-step explanation:

15+5²÷5×3

PEMDAS says exponents first

15+25÷5×3

Then multiply and divide from left to right

15+5×3

15+15

Then add

30

Answer:

30

Step-by-step explanation:

15+5²÷5×3

15 + 25 ÷ 5 x 3

15 + 5 x 3

15 + 15

= 30

If g(x) = x^2 + 8x - 24 find the value of g(6)

Answers

Answer:

hope it helps you..........

Answer:

60

Step-by-step explanation:

g(x)= x^2 +8x - 24

Substitute x for 6 in the equation

g(6)= 6^2 + 8(6) - 24

= 36+48-24

= 60

How old will be her brother in five years ?? When Mona was 10, her brother was half her age. If Mona is 57 now, how old will be her brother in 5 years?​

Answers

Answer:

57

Step-by-step explanation:

When mona was 10, her brother was half her age, so he was 5 years old.

That means that Mona is 5 years older than her brother

If mona is 57, that means that her brother is 52 years

5 years later is 52+7 so her brother will be 57

Complete the proof and rewrite the statements.
Given :
ABC is an isosceles triangle in which AC = BC
CD ⊥ AB
Prove : AD = BD
Statement Reason
i) AC = BC Given
ii) ԼCDA = _______ Right angle
iii) CD = CD Common side
iv) ΔADC ≅ Δ BDC _______ test
v) AD = BD CPCT

Answers

Answer:

Step-by-step explanation:

(ii) right angle becuase perpendicular

iv) congruent because <b=<a (opp ang in isc.tria. is equal)

since ΔADC ≅ Δ BDC, AB=BD

What the answer for this question

Answers

Answer:

I think the Correct answer is no A.

If Bobby drinks 5 waters in 10 hours how many does he drink in 1 hour ?

Answers

Water drunk by Bobby in 10 hours = 5 units

So, water drink by Bobby in 1 hour

= 5/10 units

= 1/2 units

= 0.5 units

Answer:

1/2 water

Step-by-step explanation:

We can use a ratio to solve

5 waters        x waters

-----------   = ------------

10 hours             1 hours

Using cross products

5*1 = 10 *x

5 = 10x

Divide by 10

5/10 = x

1/2 waters =x

Find the value of x.

Answers

x=60
the tic marks show that all sides are congruent, same with the angles. 60+60+60=180 also.

the length of a building is 720 in. Use dimensional analysis to convert this quantity to yards.

Answers

Answer:

20 yards

Step-by-step explanation:

First, we have to know how to get from inches to yards. 12 inches = 1 foot, and 3 feet = 1 yard.

Next, we have

[tex]\frac{720 in}{1}[/tex]

as a given. We want to multiply this by our conversions to get the end amount in yards.

We can first multiply our expression by 12 inches = 1 foot. To do this, we can set one number as the divisor and one as the dividend, e.g. 12 inches /  1 foot. However, to figure out which number should be the numerator/denominator, we first must examine our original expression. We want to multiply it by a value that cancels something out in conversion. To do this, we can have the same unit of something in the numerator in one and the denominator in the other in terms of what we're multiplying. Here, we can see that [tex]\frac{720 in}{1}[/tex] has inches on the top, so we want inches on the bottom in 12 inches = 1 foot. Therefore, we have

[tex]\frac{720 in}{1} * \frac{1 foot}{12 inches}[/tex]

= [tex]\frac{720feet}{12}[/tex]

= 60 feet

= [tex]\frac{60 feet }{1}[/tex]

We have feet as the numerator, so we want feet in the denominator in what we're multiplying this by. In 3 feet = 1 yard, we can multiply this to get

[tex]\frac{60 feet }{1} * \frac{1 yard}{3 feet} \\= \frac{60 yards}{3}[/tex]

= 20 yards

11. What is 6:12 in simplest form?
A. 2:1
B. 1:2
C. 12:6
D.2

Answers

The answer is B 1:2. I hope you get it right

If y = 4x -2, what are possible inputs and outputs of the function?
Complete the ordered pairs:
(0, __)
(-2, __)
(___, 14)
(___, -14)
Graph the data, what type of function is it?

Answers

Answer:

(0,-2), (-2,-10), (4,14), (-3,-14)

Step-by-step explanation:

y(0)=-2, y(-2)=-10, y(x) = 14 so x=16/4=4, y(x) = - 14, x=-12/4=-3.

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