Answers
Answer:
[tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsCalculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = -\frac{x^4}{2} + 3x^3 - 2x - 12[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = -\frac{4x^{4 - 1}}{2} + 3 \cdot 3x^{3 - 1} - 1 \cdot 2x^{1 - 1}[/tex]Simplify Exponents: [tex]\displaystyle y' = -\frac{4x^3}{2} + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Divide: [tex]\displaystyle y' = -2x^3 + 3 \cdot 3x^2 - 1 \cdot 2[/tex]Multiply: [tex]\displaystyle y' = -2x^3 + 9x^2 - 2[/tex]Related Questions
What is the value of x in the figure?
(15x)
15°
Enter your answer
Answers
Answer:
225 maybe
Step-by-step explanation:
sorry if wrong
find the slope of the graph below
ty :P
Answers
The members of a basketball team are selling shirts during spirit week. The cost is $15 for the design and $2.50 to print each t-shirt. The cost, y, to print x t-shirts is y = 2.5x + 15. Interpret the slope and y-intercept.
Answers
Answer:
The slope is 2.5 and the y-intercept is 15.
Step-by-step explanation:
The slope is 2.5 and the y-intercept is 15.
m= slope
b= y-intercept
A triangular prism is 50 yards tall and has a base area of 40 square yards. What is the volume of the prism?
Answers
Answer:
1000
Step-by-step explanation:
1/2 (b x l x h)
1/2 (40 x 50)
1/2 (2000)
1000
Bonjour mon exercice c'est 36%de 25km. C'est un exercice de maths à faire pouvez vous m'expliquer svp merci
Answers
Answer:
9km
Step-by-step explanation:
La question précise que:
36% de 25km
La signification de "OF" mathématiquement = x (multiplication)
Par conséquent:
36% de 25km
= 36/100 × 25 km
= 9 km
The supplement and twice the complement of an angle differ by 35 degrees. Find the angle. (Show all work)
Answers
(180 - x) = 2(90 - x) + 35
180 - x = 180 - 2x + 35
180 - x = 215 - 2x
180 + x = 215
x = 35
Check:
180 - 35 = 145 supplement
90 - 35 = 55 complement
55*2 = 110 twice the complement
110 + 35 = 145 :)
Answer:
35 degrees
Step-by-step explanation:
(180-x)= supplement
(90-x)=complement
(180-x)-2(90-x)=35
180-x-180+2x=35
x=35
One of the two numbers ends in zero. If you cross out the zero, you get the second number. Find these numbers if their sum is 363.
Answers
Answer:
330 + 33 = 363
Step-by-step explanation:
The answers you are looking are 330 and 33.
If you were to take 330 and 33 and add them together, it would equal 363. The question also states if you were to take the 0 off of the first number (330), youd get your second number (33) to equal the sum given.
I hope this helps!
For camping mrjohn son needs 12 1-2 feet of rope to tie the logs that he has to cut for the campfire and 9 3-4 feet of the rope for the clothesline what is the total length of rope he needs for the camping trip
Answers
Answer:
Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip
Step-by-step explanation:
To get the total length of rope Mr John needs for the camping trip, we can simply add up the length of rope he needs to tie the logs to the length of rope he needs for the clothesline.
Length of rope he needs to tie the logs = [tex]12\frac{1}{2}[/tex]
Length of rope he needs for the clothesline = [tex]9 \frac{3}{4}[/tex]
to sum this up, we, first of all, add up the whole numbers
12 + 9 = 21.
We then keep this aside then add up the fractions
[tex]\frac{1}{2} +\frac{3}{4} =\frac{2 +3}{4} = 5/4 = 1\frac{1}{4}[/tex]
We then add this to our whole numbers
[tex]21 + 1\frac{1}{4} =22 \frac{1}{4}[/tex]
Mr. John will need not less than [tex]22\frac{1}{4}[/tex] feet of rope for the camping trip
6th grade math help me pleaseee
Answers
Answer:
61.5
Step-by-step explanation:
12.30 time 5 is 61.5
PLEASE help me identify what type of quadrilateral this is please help ASAP
I would really appreciate it
Answers
Answer:
its c)
Step-by-step explanation:
just looked it up
What is the Hypotenuse of 12mi and 16mi
Answers
H^2 = 12^2 + 16^2
H^2 = 144 + 256
H^2 = 400
H = square root of 400 = 20
find the exact value of the composite function show work
Answers
Answer:
[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]
Step-by-step explanation:
This function can be written as:
[tex]\frac{1}{cos(sin^{-1}(\frac{1}{2x})) }[/tex]
[tex]sin^{-1}(\frac{1}{2x})[/tex] means the angle whose sine is 1/(2x). This implies that the denominator is the cosine of the angle whose sine is 1/(2x)
Think of a right triangle and consider the angle with this sine. Then the opposite side has length 1 and the hypotenuse has length 2x. The Pythagorean theorem then implies that the adjacent side is
[tex]\sqrt{4x^{2} -1}[/tex]
The cosine of the angle is adjacent over hypotenuse, so the cosine is
[tex]\frac{\sqrt{4x^{2} -1}}{2x}[/tex]
The secant is the inverse of the cosine, so the answer is
[tex]\frac{2x}{\sqrt{4x^{2} -1} }[/tex]
- Mia and Lily are trying to find the nearest whole number to the square root of 120
Mia: It is 10
Lily: It is 11
Who is correct?
Give a reason for your answer.
Answers
11x11=121 and 10x10 is 110 so the nearest number of the square root 120 is 11.
For determining the nearest whole number for the square root of 120, the Lily is correct i.e. it is a square of 11.
Given that,
Mia has 10 number.And, Lily is 11 number.Now if we square both the numbers so it comes:
10^2 = 10011^2 = 121So, 121 is nearest to 120.
Therefore we can conclude that for determining the nearest whole number for the square root of 120, the Lily is correct i.e. it is a square of 11.
Learn more about the number here: brainly.com/question/17429689
Which equation has a slope of -2 and passes through the point (3, 5)?
Answers
Answer:
y=-1/5x+32/5
Step-by-step explanation:
Two cleaning services charge money for each hour of work, plus a one-time fee.
Answers
Next time please add a question or image!
pls help me ASAP!! what is the surface area of this design? a) 288in b) 256in c) 96in d) 160in
Answers
Answer:
b) 256 inches
Step-by-step explanation:
8x5x2 = 80 (top & bottom)
8x5x2 = 80 (front & back)
8x8x2 = 128 (gross area of 2 sides)
4x4x2 =32 (delete this for side cutouts) Guessing the cutoff dimension on
left side is 4m inch.
80+80+128-32 = 256 inches
Conner has collected 29 out of the 50 state flags. What percentage of the state flags has Conner collected.
Answers
Answer:
58%
Step-by-step explanation:
total is 50 and 29 has been collected, so this can be expressed as 29/50. when divided is 0.58 multiply it by 100 and you get 58%
for numbers 19 and 20 you have to solve for the missing angle.
Answers
Answer:19. 17 degrees
20. 49 degrees
Step-by-step explanation:
Because of the postulate 50+?=67
So ?=17
And 20.
94+?=143
So
?=49
(Edit)I though you only meant 19 and 20
21. X=8
22. X=12
23.x=8
24.x=7
Radius: 12 feet Diameter: Circumference: Area:
Answers
Answer: Circumference=75.4, Diameter=24, Area=452.39
Step-by-step explanation: Hope this helps if it does can I get Brainliest.
a. Work out the value of v when u = 1.1. a = 1.5 and = 1.2
b. Work out the value of value when u =2.5. a = -1.2 and t = -1.5
v=u+at
Answers
Step-by-step explanation:
.......I am not sure...
3. A $50 pair of shoes is discounted by 15% What will be the new
price of the shoes?
Answers
Answer:
$42.50
Step-by-step explanation:
15% = .15
50 x .15 = 7.5
50 - 7.5 = 42.5
lkn f.vwjn kowqnbvkjejwajvj dnrwjojni Helpppp.
Answers
The total cost of the services will be equal at 4.8 Hours
Multiply the two polynomials and write your answer in standard form – 3x (4x - 2)
Answers
Answer:
-12x^2+6x
Step-by-step explanation:
-3x(4x-2)
-12x^2+6x
The standard form of the polynomial is -12x² +6x.
What is a polynomial?A polynomial is an equation made up of exponents, constants, and variables that is combined using mathematical operations including addition, subtraction, multiplication, and division.
The given expression is – 3x (4x - 2)
Solving further,
–3x (4x - 2)
=-12x² +6x.
The standard form of the polynomial is -12x² +6x after multiplying – 3x (4x - 2)
To learn more about the Polynomials;
brainly.com/question/11536910
#SPJ2
PLEASE ANSWER ASAP !!!
Answers
what is the price paid for a 60% pair of jeans after a 35% discount
Answers
Answer:
Step-by-step explanation:
24
Answer:
39
Step-by-step explanation:
The areas of sectors ACB and DEF are equal. what expression gives the values of x?show your work
Answers
Answer:
I think this is right thanks :)
Triangle ABC was transformed to be triangle DEF using one transformation.
What transformation was performed?
Answers
what is HL, please help me ill give you brainliest if its correct.
Answers
i think It is 21! Let me know if i is wrong.
how could you represent the following scenarios on a graph ?
Johnny mows lawns after school and earns $10
per hour .
Answers
Answer:
Step-by-step explanation:
Johnny mows lawns after school and earns $10 per hour.
Let the number of hours h mows = x
Total earning of Johnny = $10x
If the earning is represented by the variable 'y' equation representing the total earnings will be.
y = 10x
Table for Input output values,
x 0 1 2 3 4
y 0 10 20 30 40
The front part of a tent is 8 feet long and 5 feet tall.
What is the area of the front part of the tent?
Answers
Answer:
20
Step-by-step explanation:
A=1/2bh
You multiply 8x5 then divide it by 2