Answers
Answer:
h'(x)= [tex]e^{x^{9}+In(x) } (9x^{8} +\frac{1}{x} )[/tex]
Step-by-step explanation:
h(x)=[tex]e^{x^{9} +In(x)}[/tex]
first, we will use the chain rule
step1: we divide the function into two parts So,
f(x)=[tex]e^{x^{9} +In(x)}[/tex] and g(x)=[tex]x^{9} +In(x)[/tex]
step2: rewrite [tex]x^{9} +In(x)[/tex] as u.
f(x)=[tex]e^{u}[/tex] and g(x)=u
step3: differentiate f(x) first.
f'(x)=[tex]e^{u}[/tex] (the formula is y=[tex]e^{x}[/tex] and y'=[tex]e^{x}[/tex] - the same)
step4: write the value of u for each function but now sub it in the differentiable form of f(x).
f'(x)=[tex]e^{x^{9}+In(x) }[/tex] and g(x)=[tex]x^{9}+In(x)[/tex]
step5: differentiate the function g(x).
g'(x)=[tex]9x^{8} +\frac{1}{x}[/tex]
(for [tex]x^{9}[/tex] the formula is y=[tex]x^{n}[/tex] and y'=[tex]nx^{n-1}[/tex] ) (for In(x) the formula is y=In(x) and y'=[tex]\frac{1}{x}[/tex] )
step6: use the chain rule to finish out So,
h'(x)=f'(x) × g'(x)
=[tex]e^{x^{9}+In(x) }[/tex] × [tex]9x^{8}+\frac{1}{x}[/tex]
step7: simplify.
h'(x)= [tex]e^{x^{9} +In(x)}(9x^{8}+\frac{1}{x})[/tex]
Related Questions
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
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Answer:
I'm so sorry I can't help
(10 Points) Question In Picture:
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Answer:
10. you're welcome, good Luckk!
a point is ____
•imaginary
•real
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Answer:
a point Is an imaginary line
Answer:
imaginary
Step-by-step explanation:
asking questions is super in this education life
I need help, this teacher isn't explaining things like she is supposed to
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Answer:
3 and 4
Step-by-step explanation:
13 is between the perfect squares of 9 and 16, which are 3^2 and 4^2 respectively.
The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent
Answers
Answer:
See below
Step-by-step explanation:
As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change
It is found as the division below:
(9-0)/(1-0) = 9/1 = 9Point (0, 0) indicates the start point
Point (1, 9) indicates the cost of 1 t-shirt
As to the attachment graph ;
we observed that the constant rate is 9each step of horizontal change correspond to 9 steps of vertical changeNow,
according to the question
it is found as the division below ;
(9-0)/(1-0)=9/1 = 9the point which is indicating the starting point ;
(0,0)the point which indicate the cost of one t-shirt ;
(1,9)(5x10₃) x (9x10₇)
answered in standard form
Answers
Answer:
5x9x10^10
Step-by-step explanation:
your question is incomplete
Explain, using complete sentences, how a Venn Diagram could be used as a prewriting strategy to compare and contrast stocks and bonds.
Answers
A Venn diagram is helpful because it allows who ever using it easily compare and contrast and find what they have in common easily.
Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002
Answers
Which of the following is equivalent to the complex number i^54?
Answers
Answer:
c) - 1Step-by-step explanation:
i^54 = (i^2)^27 =(-1)^27 = -1Correct option is c)
[tex] \huge \bf{explanation}[/tex]
[tex] {i}^{54} [/tex]
=>( i^2)^24
=> (-1)^27
=> -1
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x Less than or equal to 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed? Explain.
Answers
Answer:
She will leave an extra video game which weighs 0.25lb
Step-by-step explanation:
Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 lb), and a music player (0.4 lb). Using the inequality x ≤ 2.25, can she add all these items to the suitcase? If not, what could be left out to be closest to the maximum weight allowed?
Solution:
Weight of the items
hairdryer = 1.25 lb
hand-held video game = 0.6 lb
an extra video game = 0.25 lb music player = 0.4 lb
The total weight of the items
= 1.25lb + 0.25lb + 0.6lb + 0.4lb
= 2.5 lb.
Total weight - required weight
= 2.5lb - 2.25lb
= 0.25lb
2.5lb is 0.25lb greater than 2.25lb
Therefore, not all items can be added.
She has to leave out an item equivalent to 0.25lb
Item equivalent to 0.25lb is the extra video game
If Li leaves out the extra game, which weighs 0.25 lb, she’d have the maximum weight allowed.
Answer:
The total weight of the items is 1.25 + 0.25 + 0.6 + 0.4 = 2.5 lb. 2.5 is 0.25 greater than 2.25, so not all the items can be added. If Li leaves out the extra game, which weighs 0.25 lb, she’d have the greatest possible weight allowed.
Step-by-step explanation:
By considering the discriminant, find the
value of the constant p such that the
following equation has equal/repeated
solutions.
4x2 + 8x + p = 0
Answers
Answer:
p = 4Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac[/tex]
We have the equation
[tex]4x^2+8x+p=0\to a=4;\ b=8;\ c=p[/tex]
substitute
[tex]\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0[/tex]
subtract 64 from both sides
[tex]-16p=-64[/tex]
divide both sides by (-16)
[tex]\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4[/tex]
Expand 3x(x^2 – 5x + 6)
Answers
Answer:
3x^3-15x^2+18x
Step-by-step explanation:
Answer:
[tex]3x^{3}-15x^{2} +18x[/tex]
Step-by-step explanation:
In order to expand this expression you need to distribute the 3x to all the terms inside the parenthesis.
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answers
Answer:
I believe the slope is 2/3.
Solve for k.
4.5 + 1.5k = 18 - 3k
Answers
Answer:
k = 3
Step-by-step explanation:
Given
4.5 + 1.5k = 18 - 3k ( add 3k to both sides )
4.5 + 4.5k = 18 ( subtract 4.5 from both sides )
4.5k = 13.5 ( divide both sides by 4.5 )
k = 3
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
[tex]4.5+1.5k=18-3k[/tex]
Subtract 4.5 to both sides
[tex]15k=13.5-3k[/tex]
Add 3k to both sides
[tex]4.5k=13.5[/tex]
Divide both sides by 4.5 to get k alone
[tex]\frac{4.5k}{4.5} =\frac{13.5}{4.5}[/tex]
[tex]k=3[/tex]
Hope this helps can pls do mark me brainliest:)
Select True or False for each statement.
A.16.302 rounded to the nearest whole number is 16 feet per second.
Select True or False for each statement.
16.302 rounded to the nearest whole number is 16 feet per second.
16.302 rounded to the nearest tenth is 16.3.
16.302 rounded to the nearest hundredth is 16.31.
16.302 rounded to the nearest tenth is 16.3.
C.16.302 rounded to the nearest hundredth is 16.31.
Answers
Answer:
True
True
False
Find the slope when give. the following points : (1,6) and (3,-4)
Answers
Answer:
y = -5x + 11
Step-by-step explanation:
Slope (m) =
ΔY
ΔX=
-5
1
= -5
θ =
arctan( ΔY ) + 360°
ΔX
= 281.30993247402°
ΔX = 3 – 1 = 2
ΔY = -4 – 6 = -10
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
PLZ ANSWER THE QUESTION 50 POINTS!!!!!!!
(-4,3) m=2 make this in point slope form
Answers
Answer:
y-3=2(x-(-4))
Or
y-3=2(x+4)
Step-by-step explanation:
thir is a sail at the store for 4 bags of chips are $11.96 at this rate what is the cost of 9 bags
Answers
Answer:
26.91
Step-by-step explanation: 11.96/4 is 2.99. so that means 1=2.99 and soon so just multiple 9 by 2.99 and you get 26.91
Answer this problem
-3+(-2)
Answers
Answer:
-5
Explaination:
Because -3-2 is -5.
how do I get the equation ?
Answers
Answer:
you get the equation by following the given patterns. y=2×+4
-0.8 x +40 - 8x -35 i need help ASAP
Answers
Answer:
-8.8x + 5
Step-by-step explanation:
See the attached picture.
Hope this helps!!!
The value of x is 0.57 in the given expression -0.8 x +40 - 8x -35
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -0.8 x +40 - 8x -35
Minus zero point eight times of x plus forty minus eight times of x minus thirty five
-0.8 x +40 - 8x -35
Add the like terms
-0.8x-8x+40-35
-8.8x+5
Isolate the variable x
-8.8x=-5
Divide both sides by 8.8
x=5/8.8
x=0.57
Hence, the value of x is 0.57 in the given expression -0.8 x +40 - 8x -35
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Find m2 KLM ifm/NLM = 950
and mKIN = 46°.
Answers
Answer:
46
Step-by-step explanation:
Solve a = d+c/b for d
Answers
Answer: d = a - c/b
Plz mark brainliest:)
I dont have a question anymmore lol k thanks
Answers
Kaylee bought 4 chicken wings for $8. What was the cost of the wings in dollars per wing?
Answers
Answer:
2$
Step-by-step explanation:
2 x 4 = 8
hope this helps
Answer:
The answer to this question is that: each wing was $2
Step-by-step explanation:
The reason for this is because, you take the amount that she paid and divided that by the amount of wings that she bought.
The perimeter of a rectangular field is 358 m.
If the width of the field is 84 m, what is its length?
Answers
Answer:
95m
Step-by-step explanation:
So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)
(84+84+95+95=358)
What is the measure of
Answers
Answer:
9
Step-by-step explanation:
3x+18+9x-27=99
12x-9=99
12x=108
x=9
Ambrose and Kaitlin are volunteering at a food bank. They both start at the same time. Kaitlin takes 13 minutes to pack a box with donated food. Ambrose takes 7 minutes to pack a box. After how many minutes will they finish packing boxes at the same time?
Answers
Answer:
They will finish packing boxes at the same time after 91 minutes.
Step-by-step explanation:
From the question,
Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,
Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.
To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes
For Kaitlin, she will finish packing box(es) at the following times:
13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.
For Ambrose, he will finish packing box(es) at the following times:
7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.
From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.
Hence, They will finish packing boxes at the same time after 91 minutes.
The graph below shows a dilation. Jacky says that the original image was enlarged, but Juan thinks the original image was reduced. Who is correct? How do you know?
Answers
Answer:
Jacky is correct
Step-by-step explanation:
If you look closely, There's another point A which an apostrophe. (A')
This normally means that this is point A after a dilation was made.
The image got bigger.
What is the solution?
-6x - 1 =23
Answers
Answer:
X=-4
Step-by-step explanation:
the first thing you do is add 1 to both sides to make the variable be alone
-6x=24
now divide 6 on both sides the variable cancels out and your left with 24/-6
so your answer is -4