Answers
Answer:
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Step-by-step explanation:
h(x) = ln x / √(x² + 1)
You can either use quotient rule, or you can rewrite using negative exponents and use product rule.
h(x) = (ln x) (x² + 1)^(-½)
h'(x) = (ln x) (-½) (x² + 1)^(-³/₂) (2x) + (1/x) (x² + 1)^(-½)
h'(x) = (-x ln x) (x² + 1)^(-³/₂) + (1/x) (x² + 1)^(-½)
h'(x) = (x² + 1)^(-³/₂) (-x ln x + (1/x) (x² + 1))
h'(x) = (1/x) (x² + 1)^(-³/₂) (-x² ln x + x² + 1)
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Solution:
h(x) = ln(x)/√x^2+1
h(x) = ln(x) * (x^2 + 1)^-1/2
h(x) = ln(x) * (-1/2) * (x^2 + 1)^-3/2 * 2x + 1/x * (x^2 + 1)^-1/2
h(x) = -x ln(x) * (x^2 + 1)^-3/2 + 1/x * (x^2 + 1)^-1/2
h(x) = (x^2 + 1)^-3/2 * (-x ln(x) + 1/x * (x^2 + 1))
h(x) = -x^2ln(x)+x^2+1/(x(x^2+1)^3/2)
Best of Luck!
Related Questions
Please help me I’m so confused
Answers
Answer:
It is 0.30 or in words, 30 hundredth.
Step-by-step explanation:
when multiplying two negative intergers what is the sign of the product
Answers
Answer:
A Positive
Step-by-step explanation:
Two negatives cancel out and make a positive.
For example: -5 x -6 = 30
What is the radius of the cone? Be sure to label your answer with any given 1 point
units (l.e. yd, mi, cm)
4 ft
7 ft
Your answer
What is the radius of the cone? Be sure to label your answer with any given 1 point
Answers
Answer:
the radious is half the diameter
Step-by-step explanation:
find the value of p in the following equation: 6 * 2/4 = p * 1/4
Answers
Answer: [tex]p=12[/tex]
Step-by-step explanation:
[tex]6*\frac{2}{4}=p*\frac{1}{4}[/tex]
Solve the multiplication on the left side.
6 and 4 can be simplified.
6/2=3
4/2=2
Leaving it like;
[tex]3*\frac{2}{2}=p*\frac{1}{4}[/tex]
2 and 2 is 1 and 3 times 1 is 3.
[tex]3=p*\frac{1}{4}[/tex]
Multiply by 4 to eliminate the fraction and isolate p.
[tex]4*3=p*\frac{1}{4}*4\\12=p[/tex]
what is 7 divided by 1/3 in multiplication
Answers
Answer:21
Step-by-step explanation:
7 ➗ 1/3
when dividing fractions you have to change the divide sign to multiplication
and the denominator at the right hand side will become the numerator,the previous numerator at the right hand side will become denominator
7 x 3/1=21
Which of the following explains the cause of the seasons changing on Earth?
The rotation of the Earth and sun.
The tilt of the axis of Earth and orbit of Earth around the sun.
The orbit of the Earth around the sun and rotation of the Earth.
The orbit of the Earth around the sun and rotation of the sun.
Answers
Answer:
The tilt of the axis of Earth and orbit of Earth around the sun.
Step-by-step explanation:
Answer options
The rotation of the Earth and sun.
IncorrectThe tilt of the axis of Earth and orbit of Earth around the sun.
Correct, seasons change because Earth tilts on its axis, and the angle of tilt causes the Northern and Southern Hemispheres to trade places throughout the year in receiving the sun's light and warmth most directlyThe orbit of the Earth around the sun and rotation of the Earth.
IncorrectThe orbit of the Earth around the sun and rotation of the sun.
IncorrectAnswer:
C - The orbit of the Earth around the sun and rotation of the Earth.
Step-by-step explanation:
Can a triangle have died of the lengths 2 yd, 9yd and 10 yd?
Answers
Answer:
No it does not work because 85 does not equal 100.
Step-by-step explanation:
so you would try the formula a2+b2=c2
2^2+9^2=10^2
4+81=100
85=100
No it does not work because 85 does not equal 100.
Answer:
Answer:C. 4 m, 3 m, 4 m, 4 m
Step-by-step explanation:
the sides in a parallelogram need to be equal to the opposite side making them the same length.
A parallelogram is a quadrilateral in which the opposite sides are parallel. The opposite sides and opposite angles are also equal.
Looking at the given options,
A) the opposite sides are equal to 2 yards. Therefore, it is a parallelogram.
B) the opposite sides are equal to 2cm and 3cm each. Therefore, it is a parallelogram.
C)A pair of opposite sides is equal to 4 cm and the other pair of opposite sides is unequal because one side is 3m and the other is 4 m. Therefore, it is not a parallelogram.
D) the opposite sides are equal to 5 in and 3 in each. Therefore, it is a parallelogram.
Hope this helps!!!
What is the median of the following set of data ?
56.2 112.8 90.4 95.5 103.7 87.6 99.1 112.4 59.7
Answers
Answer: 95.5
Step-by-step explanation:
If you order the numbers from least to greatest and alternate revoking numbers the number in the middle, or median will be 95.5
7ft
24ft
10 ft
Area?
Answers
Answer:
238 ft
Step-by-step explanation:
7x24=168
7x10=70
168+70=238
lengthxwidthxheight
By which rule are these triangles congruent?
Answers
Answer:
Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
Answer:Side-Side-Side is a rule used to prove whether a given set of triangles are congruent. The SSS rule states that: If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.
Step-by-step explanation:
Solve -1/3w -3/5 = 1/5w
Answers
Answer:
w= -9/8
Step-by-step explanation:
-1/3w -3/5 = 1/5w
+1/3w +1/3 w
-3/5=1/5w+1/3w
Make common denominators to combine like terms of the right
-3/5=1/5w+1/3w
*3 *5
-3/5=3/15w+5/15w
-3/5=8/15w
multiply both sides by the reciprocal of 8/15 which is 15/8
-3/5*15/8=8/15w*15/8
[tex]\frac{-3}{5}[/tex]*[tex]\frac{15}{8}[/tex] ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3
[tex]\frac{-3}{1}[/tex]*[tex]\frac{3}{8}[/tex] -----> now multiply across
w= -9/8
Answer: -6/7
Step-by-step explanation:
-1/2w-3/5=1/5w
-w/2 - 3/5=w/5
Collect like terms
w/5 + w/2=-3/5
(2w + 5w)/10=-3/5
7w/10=-3/5
Cross multiply
7w x 5=-3 x 10
35w=-30
Divide both sides by 35
35w/35=-30/35
w=-6/7
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for fraction bar(s)
f(x) {____if -1_< x _<1
____if 3_< x _<5
Answers
Answer: f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
Step-by-step explanation:
if -1 ≤x ≤ 1
We can see that in this range the function is constant, f(x) = 4
if 3≤ x ≤ 5
In this region we can see a linear relationship, with the points (3, 2) and (5, 4)
as the extremes, we can find the slope of this linear equation as:
s = (4 - 2)/(5 - 3) = 2/2 = 1
So our equation is
f(x) = 1*x + b
to find the value of b we can evaluate our function in the first point, we know that when x = 3, y = 2, so we have:
2 = 1*3 + b
b = 2- 3 = -1
then f(x) = 1*x - 1
Then we have:
f(x) = 4 if -1 ≤x ≤ 1
f(x) = x - 1 if 3≤ x ≤ 5
here you go another one lol
Answers
Answer:
40
Step-by-step explanation:
50+40=90
Answer:
2
Step-by-step explanation:
50+40=90
90=complementary angles total
Mel wants to buy a pair of shoes that costs $120. She has saved $45 and has a job that pays her $10 per hour. The number of hours she has to
work to have enough to buy the shoes is given by the Inequality 10x +45 > 120, where x is the number of hours she works.
The fewest number of hours she has to work to buy the shoes is
Re: 7
Next
oo
9
10
Answers
Answer:
8
Step-by-step explanation:
10x+45> 120 Subtract 45 from both sides of the inequality.
10x>75 Divide both sides by Ten
x>7.5
She has to work at least 7.5 hours so 8 is the fewest number of hours she has to work to buy the shoes.
Which equation represents a nonlinear function?
A) y=2(x-1)+5
B)y=5x(x-2)
C) y=5x-2
D)y=2x(5-1)
Answers
Answer:
B.)
Step-by-step explanation:
A linear equation, remember, is y = mx + b.
Identify.
A.) y = 2x + 3
B.) y = 5x^2 - 10x
C.) y = 5x - 2
D.) y = 8x
Eliminate.
Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.
Hope that helped.
Nora made 15 gallons of lemonade for a community picnic.
Part A
Which of the following can be used to find the number of pints of lemonade that Nora made?
15 × 2 × 2
15 × 4 × 2
15 × 3 × 2
15 × 4 × 3
Part B
How many pints of lemonade did Nora make?
Enter your answer in the box.
pints
Answers
Answer:
I also belive for Part A the second one is the answer because it equals 120 Part B is 120 pints! Good Luck! And I hope this Helps!
Answer:
B
Step-by-step explanation:
0.6666666……… as a percentage
Answers
Answer:
2/3
Step-by-step explanation:
Answer: 66.66%
Step-by-step explanation: You multiply 0.66666... by 100 and that gives you 66.66
The volume of 2 rectangular pyramids are 5632 in3 and 11000 in3. What is there scale factor
Answers
Answer:
Denote the scale factor is k.
=> The ratio between the volume of two rectangular pyramids: k^3
=> k^3 = 11000/5632
=> k^3 = 1.95
=> k = ~1.25
Hope this helps!
:)
anyone knows the answer
Answers
Answer:C
Step-by-step explanation:
3.1 x 10^(-4) x 8.5 x 10^(-2)
3.1 x 8.5 x 10^(-4) x 10^(-2)
26.35 x 10^(-4-2)
26.35 x 10^(-6)
2.635 x 10^1 x 10^(-6)
2.635 x 10^(1-6)
2.635 x 10^(-5)
HELP ME ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing. Check ALL that apply.
Answers
Answer:
B
Step-by-step explanation: it is a quadratic equation it can only have two intercepts
Find the 9th term of the geometric sequence 10 , 40 , 160
Answers
Answer:
2621440
Step-by-step explanation:
The 9th term of the geometric sequence 10, 40, 160, ......... will be 655,360.
What is a geometric sequence?Let a₁ be the first term and r be the common ratio.
Then the nth term of the geometric sequence is given as,
aₙ = a₁ · (r)ⁿ⁻¹
The sequence is given below.
10, 40, 160, .........
The first term is 10 and the common ratio of the sequence will be given as,
r = 40 / 10
r = 4
Then the equation of the geometric sequence is given as,
aₙ = 10 · (4)ⁿ⁻¹
The 9th term of the geometric sequence will be given as,
a₉ = 10 · (4)⁹⁻¹
a₉ = 10 · 65,536
a₉ = 655,360
The 9th term of the geometric sequence 10, 40, 160, ......... will be 655,360.
More about the geometric sequence link is given below.
https://brainly.com/question/11266123
#SPJ5
Solve for c.
6c + 14 = -5c + 4 + 9c
Answers
Answer:
C equal -5
Step-by-step explanation:
Look at the attachment
7.6 cm
3.7 cm
Find the area of the parallelogram.
Answers
Answer:
7cm²
Step-by-step explanation:
Thirty percent of students in a calculus class and twenty percent of students in a statistics course receive A’s. Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course. What is the probability that a student who receives an A in statistics will also receive an A in calculus?
Answers
Answer:
90% probability that a student who receives an A in statistics will also receive an A in calculus
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: A in statistics.
Event B: A is calculus
Twenty percent of students in a statistics course receive A’s.
This means that [tex]P(A) = 0.2[/tex]
Furthermore, 60 percent of students with an A in calculus receive an A in the statistics course.
Thirty percent of students in a calculus class receive an A.
This means that [tex]P(A \cap B) = 0.6*0.3 = 0.18[/tex]
What is the probability that a student who receives an A in statistics will also receive an A in calculus?
[tex]P(B|A) = \frac{0.18}{0.2} = 0.9[/tex]
90% probability that a student who receives an A in statistics will also receive an A in calculus
Mrs. Miller pays $56 for 8 pounds of salmon. What is the price of pound per salmon?
Answers
Answer:
A pound of salmon costs 7 dollars.
Step-by-step explanation:
Let's use a ratio:
pounds : $$$
8 : 56
4 : 28
2 : 14
1 : 7
A pound of salmon costs $7
Answer:
Step-by-step explanation:
56 divided by 8 is 7 so the answer is 7$ for one pound of salmon
The point (2-4) is reflected across the line y=-1. What are the coordinates of the image?
A (5,4)
B. (4,2)
C. (2,2)
D.(2,4)
Answers
Find the lateral surface area below given prism:
Answers
Answer:
the answer should be 158 but I'm not a hundred percent sure
find the area of the attached image below. PLEASE HELP ASAP!
Answers
Answer:I think 15
Step-by-step explanation:
What are the Dursleys hoping will
happen this evening?
А
They will have a delicious
dinner.
B
They will impress the Masons.
C
They will run away to Spain.
They will start using magic.
Answers
Answer:
b
Step-by-step explanation:
Tony wants to estimate the number of bees in a beehive. He catches 100 bees from the hive and marks each one with a dye. He then lets the bees go. The next day, tony catches 60 bees from the hive. 15 of these bees have been marked with dye. A) using this information what is a good estimate for the number of bees in the beehive.
Answers
Answer:
Number of total bees = 400
Step-by-step explanation:
He catches 100 bees from the hive and marks each one with a dye.
He later catches 60 and 15 were marked with the dye.
Its very to estimate from the data given.
I'll answer it with ratio.
We'll ratio number of bees with dye to total he caught the second day.
I.e 15:60 = 1:4
We'll multiply this ratio with the number he caught the first day to know the total.
1/4x =100
X = 100*4
X= 400
Where x is the total number of bees in the bee hive.
