find d/dx(e^3ln(x)).
a. e^3lnx
b.e^3ln(x)/x
c.3e^3lnx
d.3x^2

Answers

Answer 1

Answer:

D. 3x²

General Formulas and Concepts:

Algebra II

If you raise e to the natural log, they cancel out and vice versa

Calculus

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

[tex]f(x)=e^{3lnx}[/tex]

Step 2: Rewrite

[tex]f(x) = x^3[/tex]

Step 3: Take Derivative

Basic Power Rule:                    f'(x) = 3x³⁻¹Simplify:                                    f'(x) = 3x²

Related Questions

Expert Answer Please! Find The Missing Length.

Answers

Answer:

you add the leghts together then subtract and see whats missing, tahts your answer

Step-by-step explanation:

y-y2= m(x-x) coordinates of a point on the line ​

Answers

Answer:yes 5,5

Step-by-step explanation:

Please help!
Assume that you remove all of the hearts from a normal deck of cards. Now, with this new hearts-only deck, how many possible five-card hands can you draw? (A normal deck of cards has 52 cards, 4 suits, and numbers 2-10, Jack, Queen, King, Ace.)

a. 4,669,920
b. 311,875,200
c. 154,440
d. 6,497,400

Answers

Answer:

c

Step-by-step explanation:

The possible way to draw 5 cards hand from set of  hearts-only deck is  15,4440 .

What is permutation?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol [tex]P_{r} ^{n}[/tex] is used to denote the number of permutations of n distinct objects, taken r at a time.

Formula of permutation

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(n!)}{(n-r)!}[/tex]

According to the question

Remove all of the hearts from a normal deck of cards.

i.e,

Total normal deck of cards = 52

On Removing hearts cards(n) = 13  

Now, with this new hearts-only deck, how many possible five-card hands can you draw .

Card to draw (r)= 5

Applying formula of  permutation

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(n!)}{(n-r)!}[/tex]

n = 13

r = 5

Substituting the values

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(13!)}{(13-5)!}[/tex]

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(13*12*11*10*9*8!)}{(8)!}[/tex]

[tex]P_{r} ^{n}[/tex] = 15,4440

Hence, the possible way to draw 5 cards hand from set of  hearts-only deck is  15,4440 .

To know more about permutation here:

https://brainly.com/question/1216161

#SPJ2

which expression is equivalent to 3-6x?

Answers

Answer:

Step-by-step explanation:

3-6x should be the same as -6x+3

Yeah, I got the same answer, C. It’s correct

0.25(x +4) -3 = 28
What is the value of x?

Answers

Answer:

120

Step-by-step explanation:

0.25=1/4

1/4(x+4)-3=28 /times 4

1(x+4)-12=112

x+4-12=112

x-8=112

x=120

The value of x for the given expression will be equal to 120.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is 0.25(x +4) -3 = 28.

Conver the value 0.25 into fractions,

0.25=1/4

Apply the mathematical operations to get the value of x below,

1(x+4)-12=112

x+4-12=112

x-8=112

x=120

Therefore, the value of x for the given expression will be equal to 120.

To know more about an expression follow

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The midpoint of AB is M(-6,1). If the coordinates of A are (-5,7), what are the
coordinates of B?

Answers

Answer:(7,-3)

Step-by-step explanation:

The answer is 73 only if u subtract

Craig wants to use an elevator to carry identical packages having the same weight each package weighs 4 pounds and Craig weighs 90 pounds if the elevator can carry a maximum of 330 pounds at a time which NE quality shows the maximum number of packages in that crag can carry with him self in the elevator if he is the only passenger

Answers

Answer:

He can carry 60 packages

Answer:

he can carry 60 packages with him if hes the only passenger

Step-by-step explanation:

Doing old work anybody wanna help

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Integer = whole number 1 2 3 4 etc

It can also be negative

Plzzzzzzzzz help me out fast

Answers

Answer:

b

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

Jose wants to pay off his credit card balances within 18 months. He is trying to decide if he should use his $1,750 in
savings to pay off part of the balances or if he should transfer the balances to a new card with a low introductory
rate. The new credit card has an introductory rate of 8% but charges a balance transfer fee of $60 for each balance
transfer. Jose decides to pay off Credit Card B using his savings and then transfer the balance of Card A to the new
card. Which of the following options shows the amount of Jose's new monthly payment?
Credit Card A: $1,154
Credit Card B $1,469
a
b
$90.43
$68.25
$71 80
$75.34
С
d
Please select the best answer from the choices provided.
Mark this and return
Save and Exit
Nex
Submit

Answers

Answer:

c.$71.80

Step-by-step explanation:

did the debt management quiz

What is the slope of the line represented by the equation y =
4/5x-3

Answers

Answer:

4/5

Step-by-step explanation:

This linear function is represented by the model y = mx + b where y is the output value, x is the input value, b is the y-intercept and m is the slope. The coefficient of x is the slope when y has a coefficient of 1. In this equation, it's 4/5.

Can someone Please Help meh‍

Answers

Answer: the one for 3b (8) + (-2)(7c) ; for b= 2, c= 3 is

6

Step-by-step explanation:

3b(8)+(-2)(7c)

3(2)(8)+(-2)(7)(3)

(6)(8)+(-14)(3)

48-42

6

the answer is 6 and i really dont wanna explain

What is the slope of the line that contains these points?

slope:

Answers

Answer:

The slope is -4

Step-by-step explanation:

hope this helps

(-7,21),(-6,17)

17-21/(-6)-(-7)

=-4/1

= -4

(-5,13),(-4,9)

9-13/(-4)-(-5)

=-4/1

= -4

8. Solve the equation below.
(2x – 5)2 = 25

x = 8 and x = -4
x = 5 and x = 0
x = 4 and x = 2
x = 5 and x = 3

Answers

Answer:

x=5 and x=0

Step-by-step explanation:

Zahra runs a 500-meter race at a constant speed. Which graph shows her distance from the finish line during the race?

Answers

Answer: The answer is the third figure. Attached the image.

Step-by-step explanation: Given that Zahra runs a 500-meter race at a constant speed. We are to select the correct graph from the four options that will show her distance from the finish line during the race.

We can see in graph 2, the distance covered by Zahra in metres increases at the same rate as the time increases in minutes.

But, since we are considering from the finish line, so option (#) will be right, because Zahra starts at 500 metres, decreases in the same manner as the increase of time and goes down to 0 on the positive X-axis.

Also,

Thus, the attached graph, which is the third option is the correct graph.

helpppppppppppppppppppppppppppppppppppppp math will give brainy thing 50 points

Answers

Answer:

( - 10 , 6 )

Step-by-step explanation:

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

(- 4 + x ) / 2 = - 7 ⇔ - 4 + x = - 14 ⇒ x = - 10

( - 4 + y ) / 2 = 1 ⇔ - 4 + y = 2 ⇒ y = 6

( - 10 , 6 )

45 points!!!!!!!!!


In AIJK, the measure of ZK=90°, KI = 5.3 feet, and JK = 2.1 feet. Find the measure of
ZI to the nearest tenth of a degree.

Answers

Answer:

< i = 21.6 degrees

Step-by-step explanation:

Side KI = 5.3 ft

Side JK = 2.1 ft

To find :  = ?

Answer:

22°

Step-by-step explanation:

to get the value of angle I, use the formula: x tan⁻¹Ф = h

where: x = 5.3

           h = 2.1

          Ф = ?

plugin values into the formula;

5.3 tan⁻¹Ф = 2.1

tan⁻¹Ф  = 2.1  

               5.3

           ≈ 22°

Is this true or false? Ill give brainliest

Answers

Answer:

The correct answer is FALSE

Step-by-step explanation:

False is correct because it is a proportional relationship because it passes through the origin and it is a straight line.

HAVE A GOOD DAY!

Answer:

 i belive it's true

Step-by-step explanation:

Unit 4 Mid Unit Assessment
2.
1. A scale drawing of a picture frame is 6
inches long and 4 inches wide. If the
scale is 1 inch: 3.5 feet, what is the
length and width of the actual picture
frame?

Answers

Answer:

20

Step-by-step explanation:

Calculate the slope between the points: (-4,5) and (0,-2)​

Answers

To find the slope, use the formula y2-y1 / x2 - x1.

x1      y1     x2      y2

-4      5      0        -2

Plug these in.

-2-5 / 0- -4

-7/ 4 is your slope.

Solve for x: 6x−8y=12

x=2+3/4y

x=1/2+3/4y

x=1/2+4/3y

Answers

Answer:

[tex]x=2 + \frac{4y}{3}[/tex]

Step-by-step explanation:

can i please have brainliest?

She need help again

Answers

Answer:

im in 3rd grad

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

(-4,5)

(x,y)

yep.....

Diego bought a school textbook that cost $56.18 This amount includes a tax of 6.60%. What was the cost of the book before the tax?​

Answers

Answer:

The answer is $59.89 after sales tax.

Step-by-step explanation:

can someone please help me with this. will give brainliest. :)​

Answers

Answer:

I am pretty sure the answer is A

What is the value of x in the equation below?

One-third (12 x minus 24) = 16
A. 2
B. 6
C. 8
D. 10

Answers

Answer:

6

Step-by-step explanation:

B, You have to break it down and you'll get your answer

Answer:

Hello So i can try lets get started!

---------------------------------------------------

So the equation is 1/3(12x - 24)=16

The answer would be x = 6

Step-by-step explanation:

Have a blessed day!!!

And question 2 is use your knowledge of central and inscribed angles to find M.


Please help y’all

Answers

Answer:

∠ RQS = 138°

Step-by-step explanation:

Since PR and PS are tangents to the circle, then

∠ QRP = ∠ QSP = 90°

The sum of the interior angles of PRQS = 360°

Subtract the sum of the interior angles from 360° for ∠ RQS

∠ RQS = 360° - (90 + 90 + 42)° = 360° - 222° = 138°

make r the subject of v=4/3 pie r^3 need some help guys

Answers

Answer:

r = [tex]\sqrt[3]{\frac{3v}{4\pi } }[/tex]

Step-by-step explanation:

Given

v = [tex]\frac{4}{3}[/tex] πr³ ( multiply both sides by 3 to clear the fraction )

3v = 4πr³ ( isolate r³ by dividing both sides by 4π )

[tex]\frac{3v}{4\pi }[/tex] = r³ ( take the cube root of both sides )

[tex]\sqrt[3]{\frac{3v}{4\pi } }[/tex] = r

Is (-5,0)(0,0)(5,0)(5,10)(10,10) a function

Answers

Answer:

yes it is a function

Step-by-step explanation:

I WILL GIVE U BRIANLIEST THING!!!

slope is 6 and the y-intercept is 5

pls, i need the equation. ty<3

Answers

Answer:

The equation of line with slope m and y-intercept b is given by

y=mx+b

Therefore, the equation of line with slope 6 and y-intercept 5 is

y=6x+5ep explanation:

Niya worked for 5 13 hours and earned $77 at her job. What is Niya's pay rate in dollars per hour?

Answers

Answer:

5 doallar an hour

Step-by-step explanation:

adddasdda

Answer:

$14

Step-by-step explanation:

77 divided by 5.5 (which is 5 and 1/2)

77/5.5

$14 per hour

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