Let y = x² In(x).
dy/dx the lesson is differentiate products​

Answers

Answer 1

Answer:

dy/dx = x(1+2lnx)

Step-by-step explanation:

Given y = x² In(x).

dy/dx = Udv/dx + Vdu/dx

Let U = x², V = lnx

du/dx = 2x

dv/dx = 1/x

Substitute into the formula;

dy/dx = x²(1/x) + lnx(2x)

dy/dx = x + 2xlnx

dy/dx = x(1+2lnx)


Related Questions

Please help!!
I need to factor P(x)=x^4+50x^2+625
I thought the answer was P(x)=(x^2+25)^2
But it isn’t could someone please help with the answer?

Answers

x

4

+

50

x

2

+

625Rewrite  

625

as  

25

2

.

u

2

+

50

u

+

25

2

Check the middle term by multiplying  

2

a

b

and compare this result with the middle term in the original expression.

2

a

b

=

2

u

25

Simplify.

2

a

b

=

50

u

Factor using the perfect square trinomial rule  

a

2

+

2

a

b

+

b

2

=

(

a

+

b

)

2

, where  

a

=

u

and  

b

=

25

.

(

u

+

25

)

2

Replace all occurrences of  

u

with  

x

2

.

(

x

2

+

25

)

2

Working together, two copy machines can finish a copy job in 3 minutes. The slower copier can finish the job in 12 minutes. How many minutes would it take for just the faster copier to finish the job?​

Answers

Answer:

4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.

So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).

Step-by-step explanation:

What is the area enclosed by the curves???

Answers

the x and y axis
i think
It is 1/2 for sure , look at the photo

Find the value of -7 + 3(-12) ÷ (-3).

Answers

answer:

5 is the answer

Step-by-step explanation:

I don't know how I got my answer but please try

The table shows the average distance in yards of the tee shots of several professional golfers and their accuracy as percentages of landing golf ball in the fairway. what does the correlation coefficient for the data indicate about the strength of the linear association between the average distance of a tee shots in the accuracy of the golf ball landing in the fairway ?

Answers

Answer: strong negative correlation

Step-by-step explanation:

Taking the test

5 tons of compost cost $6,300.00. What is the price per pound?

Answers

Answer:

300 , is the answer

Step-by-step explanation:

What is the value of x in the figure above? Assume ↔B and ↔C are parallel.

Answers

Answer:

x=4

Step-by-step explanation:

180-58=26x+18

122=26x+18

122-18=26x

104=26x

4=x

Help plz....................

Answers

Answer with  explanation:

y+1 = 26     ;      y = 26-1 = 25

x-2 = 19           ;    x = 19+ 2 = 21

I hope im roght!!

what is the answer to this question 108= ​

Answers

Umm what’s the question??

Employees at Pete's Packaging earn time-and-a-half pay for all hours worked beyond 40 hours.
Last week an employee worked a total of 44.5 hours. How much overtime pay did the employee
earn if his regular pay rate is $12.28 per hour?

Answers

Answer:

82.89

Step-by-step explanation:

You have to start I figuring out how much overtime pay is per hour. Time and a half pay on $12.28 is $18.42. Working a total of 44.5 hours means that 4.5 hours for overtime. $18.42 x 4.5= $82.89 overtime pay.

The first person that guess what game I play get free games...



Answers

rblx or among us
and I need help in math good luck​

Answers

Answer:

amoug us

Step-by-step explanation:

1.5x= 3 help me I don't know what this means

Answers

Answer:

x = 2

Step-by-step explanation:

simple

just divide 3 by 1.5 to get x

3 / 1.5 = 2

so

x = 2

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

655,325 to the nearest hundred thousands

Answers

Answer:

700,000

Step-by-step explanation:

55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.

Answer:

655,325

Step-by-step explanation:

Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.

The arrow shown is on a sign. What is the area of the arrow? Plz

Answers

Answer:

61 inches squared

Step-by-step explanation:

find the area of the rectangle then the area of the triangle and add.

Answer:

61 in²

Step-by-step explanation:

first u work out the rectangle. so u do 4 times 10 which is 40 . then u do 1.5 plus 1.5 plus 4 which equals 7 . then u do 7 times 6 which is 42 . 42 two divide by 2 = 21 . 21 plus 40 equals 61. answer 61.

area of triangle: base times height divide by 2 .

to work out area of rectangle : 4×10=40 in²

1.5+1.5+4= 7 in

area of triangle: 7×6=42 then divide by 2 = 21 in²

plus them to get the area of arrow : 21+40=61 in²

hope this helps. give brainliest and like this . rate it and follow me . amd I will follow u back and help u more

What are the answers to the puzzle?

Answers

Answer:

1) 25°

2) 155°

3) 25°

4) 25°

5) 110°

6) 30.5°

7) 41°

Step-by-step explanation:

5) 5x + 15 = 8x - 42,  3x = 57,   x= 19, ∠CDE = 5(19) + 15 = 110°

6) 3x + x + 4 + 70° = 180°,  4x = 106°, x = 26.5°, ∠ABC = 26.5° + 4° = 30.5°

7) 2x + x + 4 + 65° = 180°, 3x = 111°, x = 37°, ∠MNO = 37° + 4° = 41°

sabrina is making a snack mix. She uses these items. peanuts 5/6, chocolate chips 1/3, granola 1/2, raisins 3/4. What is the total weight Sabrina used

Answers

Answer:

29/12

Step-by-step explanation:

5/6+1/3+1/2+3/4

10/12+4/12+6/12+9/12

14/12+6/12+9/12

20/12+9/12

29/12

Please help me lol ......................

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

simple logic

9.85xs;s=4
help me. please

Answers

Answer:

39.4

Step-by-step explanation:

9.85 * (4) = 39.4

6=2(y+2)
I. Don’t get it

Answers

Answer:

1

Step-by-step explanation:

6=2*y+4

6-4=2*y

2=2*y

y=2/2

y=1

hehe lol? math math math​

Answers

Answer:

lol

Step-by-step explanation:

Answer:

math kinda sucks. :) Brainliest pls???

Step-by-step explanation:

Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1

Answers

Answer:

A

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

What is a circle?

A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.

Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,

The equation of the circle =

(x - 3)² + (y - 7)² = 2

The standard equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Comparing both we get,

(h, k) = (3, 7)

r² = 2

r = √2

Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.

Learn more about circle, click;

https://brainly.com/question/29142813

#SPJ2

Is 4(4f-8)+5= 16f+37

Answers

4(4f-8)+5= 16f-27
that’s the right answer

Help I’ll give brainliest

Answers

Answer:

8

888888888888888888888888888

Treven puts 8 gallons of gas in his car air pays $22.00 what is the cost of 1 gallon of gas complete the table

Answers

Answer:

the cost of each gallons is 8÷22.00=$36

Help pls!! I need help!!

Answers

Answer:

what u need help wt?

Step-by-step explanation:

C = ?
when d = 25 m.
(C = circumference)
(d = diameter)

Answers

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

The measure of the interior angles of four refusal

Answers

Answer:

B) 180(n-2)

Step-by-step explanation:

B) 180(n-2)

please help me with this math wuestion

Answers

Answer:

A) 3 1/4

Step-by-step explanation:

x+1/2 = 3 3/4

x = 3 3/4 - 2/4 = 3 1/4

PLEASE ANSWER FAST!!!!!

Answers

Answer:

Step-by-step explanation:

if the function is x the answer is 1 hope it helps

question plz helpppppppppp

Answers

Answer:

the answer is 38.25

Step-by-step explanation:

45-15%

=38.35

Answer:

$6.75

Step-by-step explanation:

To solve any percent problem, u can use the equation part         %

                                                                                           -------   =   ---

                                                                                         whole       100

(the lines are fraction bars btw, when u right out the problem, write it as fractions)

In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:

100x = 675.

Then, divide 675 by 100 to get x = 6.75.

So Natalie saves $6.75.

hope this helps!

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