what is the value of d/dx(1/x) at x=6 ?
If you know your derivative rules, then
d/dx [1/x] = -1/x ²
so that when x = 6, the derivative has a value of -1/36.
If you have to use the definition of the derivative, then
d/dx [1/x] = lim {h → 0} (1/(x + h) - 1/x) / h
… = lim {h → 0} (x - (x + h)) / (hx (x + h))
… = lim {h → 0} (-h) / (hx (x + h))
… = lim {h → 0} (-1) / (x (x + h))
… = -1/x ²
and at x = 6, you again get -1/36.
Alternatively, use the definition of the derivative at a point:
d/dx [1/x] (6) = lim {x → 6} (1/x - 1/6) / (x - 6)
… = lim {x → 6} ((6 - x) / (6x)) / (x - 6)
… = lim {x → 6} -(x - 6) / (6x (x - 6))
… = lim {x → 6} (-1) / (6x)
… = -1/36
What’s the answer please
8 less than six times a number y
Solve for indicated side
Your Answer:
Question 4 options:
Answer
Answer: x=10
Step-by-step explanation:
Picture below.
which equation is equivalent to 4(a-3)
Answer:
12-4
Step-by-step explanation:
If x = -2, which inequality is true?
2x + 6 < -1
2x - 3 > 6
-5 + 3x > 1
3 - x < 10
Step-by-step explanation:
The answer of this question is -5 + 3x > 1
If my answer is wrong so I am really sorry for it
Last year Zack had two jobs.
Zack worked
.
in an office for 12 months and earned £2600 per month
at a gym for 39 weekends and earned £80 per weekend.
.
What fraction of his total income last year came from his work at the gym?
Write the fraction in its simplest form.
[tex]\frac{1}{11}[/tex] [tex]=0.909[/tex] of his total income last year came from his work at the gym.
What is fraction?
A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.
According to questions, Last year Zack had two jobs.
Zack worked in an office for [tex]12[/tex] months and earned £[tex]2600[/tex] per month
and at a gym for [tex]39[/tex] weekends and earned £[tex]80[/tex] per weekend.
We have to find the fraction of his total income last year came from his work at the gym.
Office Income[tex]=[/tex]£[tex](2600[/tex]×[tex]12[/tex][tex])[/tex] [tex]=[/tex]£[tex]31200[/tex]
Gym Income[tex]=[/tex]£ [tex](80[/tex]×[tex]39)[/tex][tex]=[/tex] £[tex]3120[/tex]
Total Income[tex]=[/tex]£ [tex]34320[/tex]
Fraction of his total income last year came from his work at the gym
[tex]=\frac{3120}{34320} \\=\frac{1}{11}[/tex]
[tex]=0.909[/tex]
Hence, we can conclude that [tex]\frac{1}{11}[/tex] [tex]=0.909[/tex] of his total income last year came from his work at the gym.
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Explain answer !!
( WILL GIVE BRAINLEST)
Larissa: y = 250 - 25x
Chucho: y = 30 +30x
4 weeks
Step-by-step explanation: It says it in the problem, and you can see they cross at 4 weeks
Answer:
Larissa: y = 250 - 25x
Chucho: y = 30 +30x
4 weeks
Step-by-step explanation:
What is the area of the composite shape?
20 points and a brainlest
Answer:
257.
Step-by-step explanation:
seperate the shapes. we know that the side on the left upper corner is 7 because 29 - 22. The we find the other missing side, which is 26 - 21, 5. then we multiplt the first "box" to find the area, 21 x 7 = 147. Then the second box 5 x 21 = 110. Add the two, and you find your answer. 257
Find sides of a triangle with only the hyp and angles? I'm really confused
Answer:
x = 10√3
y = 10
Step-by-step explanation:
Step 1:
x = r·cos(30°)
y = r·sin(30°)
Step 2:
x = 20·√3/2 = 10√3
y = 20·1/2 = 10
However, there is a shortcut. Since there is a hypotenuse, there is a 90° angle. You are given a 30° angle, so the triangle is 30°-60°-90°.
The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 90° angle has length 20, so the side opposite the 30° angle has length 10, and the side opposite the 60° angle has length 10√3.
Find the area of the isosceles triangle.
20 cm
20 cm
32 cm
Answer:
20 cm
Step-by-step explanation:
just a guess since there isn't a pic
How Students Spend Their Time
EATING
8%
HOMEWORK
8%
WATCHING TV
13%
SOCIALIZING
13%
SLEEPING
33%
SCHOOL
25%
HOW STUDENTS SPEND THEIR TIME
[tex]14y {. \times \frac{?}{?} }^{2} [/tex]
15% eating, 25% homework, 2% tv, 0% socializing, 35% sleeping, 50% school for me
diego has some money in his bank account before he starts a summer job. he deposits the money from the summer job in his bank account and doesn't spend any of it. After working 3 hours, he has $71 in the account. After working 12 hours, he has $134 in the account.
How much money does diego earn per hour
Answer:
About $23.77 per hour.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if this helped ;)
The Diego earn [tex]\$ 7[/tex] per hour.
Calculation:Given that,
After working 3 hours, he has $71 in the account.
After working 12 hours, he has $134 in the account.
It means that, After working 9 hours,
Diego earn [tex]=134-71=63[/tex]
In 9 hours, earning [tex]=63\$[/tex]
In one hour, earning [tex]=63/9=\$7[/tex]
Learn more about the per hour earning here:
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Please help will Mark brainlyest
Answer:
Lh i think ok so ok ok ok ok ok ok
11 b = 5, what is a
B. 25
C, 75
D. 125
Answer:
2.2
Step-by-step explanation:
Explain answer !!
( WILL GIVE BRAINLEST)
Answer:find the solution to the system of equations below.start by adding the equation
{-2x+2y=-8
{2x+y=5
Step-by-step explanation:The given system of equation are:
1---- y= x -4
2----- y=4 x+2
Equation (1) - Equation (2)
→0= x -4 - (4 x+2)
→0= -3 x -6-----[Adding and subtracting like terms]
Adding 3 x on both sides
→3 x= -6
Dividing by 3 on both sides
→x = -2
→Substituting the value of x in equation 1, we get
y= -2 -4
y =-6
→Solution set =(x,y)=(-2, -6)
Don't used the graph to find the solution.
can anyone give me the answer?
Answer:
169
Step-by-step explanation:
The square area is 64 and the paralellogram is 105
Add those two: 64+105=169
is this the right answer?
The perimeter of a square is 20 in. What is its area? Label the square. How long is each side of the square?
Answer:
5
Step-by-step explanation:
If the whole square is 20in and there are four sides, then divide 20/4 which is 5
(I think)
Help.
Which graph represents the solution to 5 times a number, n, is less than 65?
Answer: help
Step-by-step explanation: I need help too
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
Answer:
(-80538738812075974)^3 + 80435758145817515^3 + 12602123297335631^3 = 42
Step-by-step explanation:
This is obviously a bait question.
help me please ASAP!!!!
ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!
5 3/10 - 1.5 please help me
Answer:
es igual a 111.111.111.011
What is
8v+w+7−8v+2w
Answer:
3w+7
Step-by-step explanation:
Let's simplify step-by-step.
8v+w+7−8v+2w
=8v+w+7+−8v+2w
Combine Like Terms:
=8v+w+7+−8v+2w
=(8v+−8v)+(w+2w)+(7)
=3w+7
how do I increase 36 by 40%
Take 36 multiplied by 1,4
[tex]36 \times 1.4 = 50.4[/tex]
Write a condolence letter to your bosom friend who recently lost his mother.
Answer:
Hey man, I'm sorry for you loss, if there is anything that I can do like bring you ice cream or pizza or something let me know. I am here for you, and I hope you feel better soon.
Stephanie had 7/8 pound of birdseed she use 3/8 pound to fill the birdfeeder how much birdseed to Stephanie have left?
Answer:
4/8 or 1/2
Step-by-step explanation:
7/8-3/8= 4/8 or 1/2
Answer:
Stephanie has [tex]\frac{1}{2}[/tex] a pound of birdseed left.
Step-by-step explanation:
[tex]\frac{7}{8}[/tex] - [tex]\frac{3}{8}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
help—————————————————
Answer:
False
Step-by-step explanation:
The range of the function is the set of all possible y values, in our case that would be {5, 6, 8, 13}, there for the range of the function is not {2, 4, 5, 6}, therefore the statement is false.
PLZ HLP The figures are similar. Find x.
Answer:
if it is similar it would be 19
Step-by-step explanation:
What is the circumference of a circle with a diameter for 5 feet use 3.14 for n
Answer:
circumference=15.7 feet
Step-by-step explanation:
5x3.14=circumference=15.7
Answer:
15.7 feet
Step-by-step explanation:
The formula for circumference is [tex]2\pi r[/tex].
The radius is half of the diameter: 2.5 in this case.
2.5 x 2 is 5.
3.14 x 5 is 15.7.
Hope it helps!