Answers
Related Questions
how to solve this derivative.
f(x)={ln(3x)}^2x
with steps...
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Rewrite f(x) as a nested exponential-logarithm expression :
[tex]\left(\ln(3x)\right)^{2x} = \exp\left(\ln\left(\ln(3x)\right)^{2x}\right)[/tex]
(where [tex]\exp(x) = e^x[/tex])
One of the properties of logarithms lets us drop the exponent as a coefficient:
[tex]\exp\left(\ln\left(\ln(3x)\right)^{2x}\right) = \exp\left(2x\ln\left(\ln(3x)\right)\right)[/tex]
Now, by the chain rule, we have
[tex]f(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \implies \\\\ f'(x) = \left(\exp\left(2x\ln\left(\ln(3x)\right)\right)\right)' \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2x\ln\left(\ln(3x)\right)\right)'[/tex]
By the product rule,
[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left( (2x)' \ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left( 2\ln\left(\ln(3x)\right) + 2x\left(\ln\left(\ln(3x)\right)\right)' \right)[/tex]
By the chain rule again,
[tex]f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + 2x \cdot \dfrac1{\ln(3x)} \cdot \left(\ln(3x)\right)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2x}{\ln(3x)} \cdot \dfrac1{3x} \cdot (3x)' \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{3\ln(3x)} \cdot 3 \right) \\\\ f'(x) = \exp\left(2x\ln\left(\ln(3x)\right)\right) \cdot \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)[/tex]
Then simplify this to
[tex]f'(x) = \boxed{\left(\ln(3x)\right)^{2x} \left(2\ln\left(\ln(3x)\right) + \dfrac{2}{\ln(3x)} \right)}[/tex]
PLEASE HELP ITS MATH
Answers
Answer:
$192
Step-by-step explanation:
It's a proportion question!!
9/432 = 43/x
9x = 432*4
9x = 1,728
Divide 9 on both sides to isolate x.
x = 1,728/9
x = 192
So, Reid's retirement party costs $192.
(I apologize if the answer is wrong!!)
PLEASE HELP 100 POINTS AND BRAINLEST TO WHOEVER CAN HELP ME!!!!!
Precalculus: Use Function Notation and Describe Graphs Project
Description
In this project you will use words and function notation to describe the connection between the transformation of a function’s graph and the affect on the function’s equation. Then you will explain how the Point-Slope equation for a line can be explained as a transformation of the parent function
.
Requirements
You may submit a Word document, or Powerpoint file or pdf.
Name your file: Last name first name Use Function Notation and Describe Graphs Project. (My project done in Word would be name “Parker Carla Use Function Notation and Describe Graphs Project.docx”)
Projects that are not named properly will be reset for you to resubmit your project.
Blank projects or irrelevant files will result in the project being reset and the student losing access to auto-progression.
Answer the following questions using words and the appropriate equation from the Transformation Equations Bank.
What must be done to a function’s equation so that its graph is shifted vertically upward?
What must be done to a function’s equation so that its graph is shifted horizontally to the right
What must be done to a function’s equation so that its graph is stretched vertically?
Describe what the graph of looks like.
Explain how the Point-Slope equation, is a transformation of .
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Answer:
esult in the project being reset and the student losing access to auto-progression.
Answer the fol
Given that the function graphed is ƒ(x), what is ƒ(4)? A) −2 B) −4 C) −6 D) −8
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Answer: Solution for The graphs of the functions ƒ (x) = cos(x) and g(x) =x are shown to the left. Use the graph to approximate where the two functions intersect.…
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let f(x)=-x-5 and g(x)=2x+3. Find the indicated value:
f(4)
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Work Shown:
f(x) = -x-5
f(4) = -4-5
f(4) = -9
Explanation: Replace every copy of x with 4. Then use PEMDAS to simplify.
An insurance agent earns a base salary of $28,000, a commission of 2% of sales, and receives an additional fee of $9 for each sale of an investment policy. The agent had total sales of $75,000 and 6 investment policies this month. Find the commission and fees earned. (There should be 2 separate answers)
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Answer:
$54 for fees
$1500 for commission
$29554 in total
Step-by-step explanation:
They will have $28000 regardless.
The commission is 2% so you multiply 0.02 (which is equivalent to 2%) to $75000, so he earns $1500. He sold 6 sales so he you multiply 6 by $9 and you get $54.
I don't know exactly what your asking but
$54 for fees
$1500 for commission
$29554 in total
pls help find the area of this triangle
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Answer:
c
Step-by-step explanation:
h × b then Divide by 2......
can anyone help ?
Fasttt
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Answer:
- 3
Step-by-step explanation:
6 - 4x = 6x - 8x + 12
6 - 4x = - 2x + 12
6 - 12 = - 2x + 4x
- 6 = 2x
x = - 6 / 2
x = - 3
Answer:
+3
Step-by-step explanation:
we collect like terms to give us
-4x-6x+8x=12-6
-10x+8x=-6
-2x=-6
divide through by -2 to give us
-2x/-2=-6/-2
x=+3
note that when a negative sign divides another negative sign, it gives us a positive sign which in our case, could be ignored if chosen to
need help right now plz!!
Answers
Answer:
[tex]2<p<6[/tex]
Step-by-step explanation:
If it is less than [tex]6[/tex], it must have [tex]p<6[/tex].
If it is greater than [tex]2[/tex], it must have [tex]2<p[/tex].
We can combine these inequalities to get [tex]\boxed{2<p<6}[/tex].
The graph is left as an exercise to the reader.
If a new car is valued at $20,600 and 8 years later it is valued at $7000, then what is the average rate of change of its value during those 8 years?
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Please help i really need it, i will give brainliest to the right answers
What is the value of 2^4 + 1/4||9x + 2|| when x = –2?
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Answer:
-292 1/2
Step-by-step explanation:
PEMDAS
Perenthesis
2 To the power of 4 = 16 + 1/4 = 16/1 + 1/4 X -18
Use graphing technology to find the range of the function
f(x) = –x^2 – 10x – 27
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Please help me answer
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The question is asking “Angle A is opposite from…. I would say A is the best answer.
Hope this helped :)
A taxi driver charges £5 per mile.
Write a formula to work out the total amount he gets paid (T) when you know the total number of miles he drives (m).
Answers
Answer:
T(m) = 5m
Step-by-step explanation:
The number of miles will multiply the price per mile, so the result will be the total price
PLS HURRY!!!!!
Identify the prime factorization for 75
A 25x3
B25x 3
C 52x3
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Answer:
C 52x3
Step-by-step explanation:
interquartile range 245 297 323 369 388
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Hey here is my question. So if you have 20 legos and your sister has 10 legos how many more legos do you have than her? fr.ee points.
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Answer:
You would have 10 more legos than your sister.
Step-by-step explanation:
20-10=10
82°
49°
F°
F = ? ? ?
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Answer:
49 degrees
Step-by-step explanation:
The angles of a triangle must add up to 180 degrees. So, f = 180 - 82 - 49 = 49.
Simplify the expression to a + bi form:
(8 – i) – (10 – 8i)
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Answer:
-2+7i
Step-by-step explanation:
(8-i)-(10-8i)
8-i-10+8i
8-10-i+8i
-2+7i
Answer:-2+7i
Step-by-step explanation:
Are lines segment Gl and HK congruent or not?
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Answer:
congruent (I am sorry if wrong)
Step-by-step explanation:
GI are 8 distance apart from each other
and so is HK
If you are at - 15 on the number line and you wanted to move toward the positive integers, which direction along the number
line would you need to move?
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Answer:
To the right
Step-by-step explanation:
The negatives on a number line are on the left side and the positives on the right.
see this as an example:
The number line that you really want to move is the right side. Then, at that point, the right choice is C.
What is a number line?A number line alludes to a straight line in science that has numbers organized at customary stretches or divides along its width. A number line is frequently shown on a level plane and can be delayed toward any path.
On the off chance that you are at - 15 on the number line and you needed to push toward the positive numbers
The number line that you need to move in the right side. Then the correct option is C.
More about the number line link is given below.
https://brainly.com/question/13189025
#SPJ2
Subtract polynomials:
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
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9514 1404 393
Answer:
-5x^4 +6x^3 -x +3
Step-by-step explanation:
First, eliminate parentheses.
(-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)
= -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2
Then collect terms.
= -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3
= -5x^4 +6x^3 -x +3
Enter the ratio as a fraction in lowest terms 14 minutes to 18 minutes
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Part A is 7/16 of the whole
Part B is 9/16 of the whole
Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 14 + 18 = 32
Part A = 14 and Part B = 18 are numerators for each fraction.
The fractions are then:
14/32 and 18/32
Meaning:
Part A is 14/32 of the whole
Part B is 18/32 of the whole
Reducing the fractions, it is also true that:
Part A = 7/16 of the whole
Part B = 9/16 of the whole
Answer:
Step-by-step explanation:
14+18=32
14/32,18/32
7/16,9/16
I dont know how to do this Please explain!!!
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Using the idea that similar triangles are proportional, we can solve this problem fairly easily using a proportion. It is always best to try to draw a picture if possible, as it may increase your understanding of the problem! I have attached an image of the situation.
Proportion: The woman's distance from the laser / the woman's height = the lamp post's distance from the laser / the lamp post's height
2.1 / 1.8 = 4.5 / x
8.1 = 2.1x
x = 3.9m
Hope this helps!! :)
An airplane takes 5 hours to travel a distance of 3400 kilometers against the wind. The return trip takes 4 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?
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4. Jason drove 200 miles in 8 hours. How many miles did Jason drive per
hour? (answer with just a number)
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Answer:
25
Step-by-step explanation:
Bakit mahalaga humingi ng tulong sa iba?
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Answer: Ang paghanap ng tulong ay binabawasan ang gastos at epekto ng sakit at pinapayagan ang maraming tao na umunlad at umunlad at mag-ambag sa isang mas positibong lipunan. Ang paghanap ng tulong ay dapat, makita, bilang isang positibong hakbang; isa na nagpapabuti sa kalusugan at kabutihan at kaligayahan.
Step-by-step explanation: Pinoy ka? Ako den
Answer:
ayon sa internet, "ang paghingi ng tulong ay binabawasan ang gastos at epekto ng karamdaman at pinapayagan ang mas maraming tao na umunlad at umunlad at mag-ambag sa isang mas positibong lipunan." Sa madaling salita, ang paghihingi ng tulong ay maaaring payagan kang mapalibutan ang iyong sarili sa mga tao na maaaring magpaganda sa amin.
(gumamit ako ng tagasalin. pasensya na kung hindi mo maintindihan!) :(
Step-by-step explanation:
Which fruit stand, A or B, offers a better deal on blueberries
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Answer:
Step-by-step explanation:
Answer:BStep-by-step explanation:B cost less money bet has the same
If 1/4 of a gallon is enough for 1/3 of a room, how much paint would you need to paint four rooms?
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Answer:
you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons
Three cell phone towers form a triangle,
APQR. The measure of ZQ is 10° less than the measure of ZP. The measure of ZR
is 5° greater than the measure of ZQ. Which two towers are closest together?
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Answer:
answer mga dalog points
Step-by-step explanation:
mga Gago mga mini o
unsa Pana dha
mga hangol og points answer na