how do you determine the second deriviative of x^3-7x^2+36​

Answers

Answer 1

Answer:

6x -14

Step-by-step explanation:

x^3-7x^2+36​

Take the first derivative

3x^2 -14x

Now take the derivative again

6x -14

Answer 2

Answer:

6x - 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x³ - 7x² + 36

Step 2: Differentiate

Basic Power Rule:                                                                                             f'(x) = 3x³⁻¹ - 2 · 7x²⁻¹ + 0Simplify:                                                                                                             f'(x) = 3x² - 14xBasic Power Rule:                                                                                             f''(x) = 2 · 3x²⁻¹ - 1 · 14x¹⁻¹Simplify:                                                                                                              f''(x) = 6x - 14

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e


Related Questions

What is the interquartile range of the data set shown below?
25, 28, 32, 35, 36, 40, 46

Answers

Answer:

IQR = 12

Step-by-step explanation:

interquartile range is the difference between quartile 3 and quartile 1

in this set of data Q3 = 40 and Q1 = 28

so IQR = 12

plss Pa answer po!!!!!!!!!!!!!​

Answers

Equation 1: 12-x=5 (Answer is 7)

Equation 2: 60-x=25 (Answer is 35)

Answer:

ronalyn has 7 oranges

7 + 5 = 12

aurthur has Php 35.00

25.00 + 35.00 = 60.00

hope it helps u..

My grades depend on this question! Please help! Brainliest will be given out for this!​

Answers

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006

Please help me it’s for a quiz

A fenced pasture has a central rectangular corral within it that measures 8m by 5m.
The total area of the fenced pasture (outside the corral) is three times the area of the central corral.
What is the area of the central corral?.
If the width of the pasture border is the same for each side of the central corral,
what is the width of the border?
Draw a labeled picture, use let statements and show your work.

Answers

Answer:

*cough**cough* Ms. Roth?

Need help please!!!

Answers

The answer is D
Explanation:5x^5-44x^3-9x=0
X(5x^2+1)(x-3)(x+3)=0
X(x+3)(x-3)=0
X=0,x=-3,x=3
The answer is D. Have a good day.

hi, i know this is basic math and stuff but I still need some help​

Answers

Answer:

the answer is :

20 for the first figure

12 for the second figure

30 for the last figure

Answers:

Perimeter = 22 cmPerimeter = 22 cmPerimeter = 30 cm

==============================================

Explanation:

The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.

So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).

For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.

It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.

What is the value of x in the solution to the system of equations shown???
-7
1.6
2.4
4

Answers

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

7x + y = 14

-2x - y = 6

Step 2: Solve for x

Elimination

Combine 2 equations:                                                                                     5x = 20[Division Property of Equality] Divide 5 on both sides:                                  x = 4

Maria needs to be at the airport terminal at 15:20. It will take

2 1/3






hours to drive to the airport from her home, and a further 30 minutes to park and get to the terminal.

What is the latest time she should leave home?

Give your answer as a time in the 24-hour clock.

Answers

Answer:

12:30

Step-by-step explanation:

Pls help. What is the appropriate congruent for these triangles

Answers

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

Step-by-step explanation:

x+y=94 degree(sum of two interior opposite angles is equal to the exterior angle formed)

 let third angle be y because the base of an isosceles triangle are always equal.

y+x+y=180 degree (sum of interior angles of a triangle)

y+94=180

y=180-94

y=86 degree

for angle x

substitute the value of x

x+y=94

x+86=94

x=8 degree

Which choice is equivalent to the fraction below? 6/(sqrt(3))

Answers

Answer:

A. 2sqrt3

Step-by-step explanation:

Hope this helps!

The original price of a skateboard, not including tax, was $96. Charlie bought the skateboard on sale, and he saved 30% off of the original price.

What was the sale price of the skateboard?

Answers

96
-30
——
66

Answer: the total of the skateboard was $66

What is the value of x?

Answers

Answer:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18

x=13.16ft

Answer:

ammaamakamamMN8181(18736

Step-by-step explanation:

88271(1(1+1+382(2(#!#

MARKING BRAINLIEST

PLS HELP

Answers

Answer:

-7

Step-by-step explanation:

Domain is simply another way of saying input values. Input values are literally just x values (Any place on the x bar. Range is the same but instead of x values it is for y values.

awnser: -7
explanation : i got it from the guy up there^^

Line l has a slope of −3. The line through which of the following pair of points is perpendicular to l? i will give brainliest for the answer


A. (−4,−3),(−3,−6)
B. (−18,−1),(−3,0)
C. (−6,−4),(−3,−3)
D. (−2,−3),(−3,−6)

Answers

Answer:

c. (−6,−4),(−3,−3)

Step-by-step explanation:

a). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-4)

-3/ 1

= -3

b). y2 - y1 / x2 - x1

0 - (-1) / -3 - (-18)

= 1/15

c). y2 - y1 / x2 - x1

-3 - (-4) / -3 - (-6)

= 1/3

d). y2 - y1 / x2 - x1

-6 - (-3) / -3 - (-2)

3

Answer:

D

Step-by-step explanation:

ALWAYS REMEMBER THIS EQUATION: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Find the slope of answer A

1. [tex]\frac{-6 - -3}{-3 - -4} = \frac{-3}{1}[/tex]

 2. This answer is not perpendicular to "l" because it is equal to -3. (Even if it has a different y-intercept, it will just be parallel, not perpendicular.)

Find the slope of answer B

1. [tex]\frac{0 - -1}{-3 - -18} = \frac{1}{15}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer C

1. [tex]\frac{-3 - -4}{-6--2} = \frac{1}{-4}[/tex]

 2. This answer is not perpendicular to "l".

Find the slope of answer D

1. [tex]\frac{-6 - -3}{-3 - -2} = \frac{-3}{-1}[/tex]

 2. This answer is perpendicular to "l" because 3 is the inverse of -3.

when Maria was born, her mother was 24 years old. At present, Maria's age is 20% of her mother's age. How old is Maria now?​

Answers

Answer:

the mother is older than maria by 24 years.

if Maria's age = x

mother's age = x+24

x=0.2(x+24)

x=0.2x+4.8

x-0.2x= 4.8

0.8x=4.8

x=4.8/0.8

x=6

Maria's age is 6 years

pls help me with this problem mam confused

Answers

Answer:

96 yd^2

Step-by-step explanation:

Multiply l • w: 3 • 8 = 24 in

Convert inches to yards using the scale on the right:

24 • 4 = 96 yd^2

If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC

Answers

Answer:

AB/ PQ = BC/QR

Step-by-step explanation:

In similar triangles, ratio of corresponding sides are equal.

So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]

pls heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

1.1

Hope this helps:)

work out
(10 - 3 * 2)

Answers

Answer:

4

Step-by-step explanation:

(10 - 3*2)

negative 3 times 2 = -6

10 minus 6 = 4

John is 8 years younger than Ahmad. If the sum of their ages is 38, how old is John?

Answers

Let x equal Ahmad’s age.
Since John is 8 years younger than Ahmad, the equation would be as follows:

x+x-8=38

Solve for x:

2x-8=38
38+8=46
2x=46
x=23

23 is Ahmad’s age, subtract 8 from this and you’ll get 15 for John’s age.

For an experiment, Doris brought a container filled with snow into a warm environment. After 4
minutes, 12.88 grams of the snow remained. How many grams of snow were in the container
originally if 44% of it had melted after the 4 minutes?

Answers

Answer:

23 grams of snow

Step-by-step explanation:

44% melted, so, 100% - 44% = 56% remained.

56% = 12.88 grams

1% = 12.88/56 = 0.23 grams

100% (= original snow) = 100×1% = 100×0.23 = 23 grams

the question is kind of nonsense, because snow is made of water, and that water weighs the same, if it is in snow form or in liquid form. melting it or freezing it does not change its weight. only its volume.

so, actually the container contained 23 grams of water substance at the beginning, and still contains 23 grams of water substance.

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If
AC 18 and DC · 15, what is the length of BC in simplest radical
form?

Answers

The length will be 3 because of the altitude

During a school event, Noah is selling pizza at the food stand for $1.25 per slice. How many slices of pizza would Noah need to sell to earn $120? Explain your reasoning.

Answers

Answer:

96

Step-by-step explanation:

120/1.25=96

Noah needs to sell 96 slices of pizza to earn $120.

Help fast it is math and really fast need help

Answers

Given:

The table of value and y is inversely proportional to square of x.

To find:

The value of c and d.

Solution:

It is given that y is inversely proportional to square of x. So,

[tex]y\propto \dfrac{1}{x^2}[/tex]

[tex]y=k\dfrac{1}{x^2}[/tex]               ...(i)

Where, k is the contant of proportionality.

From the given table it is clear that [tex]y=4[/tex] and [tex]x=3[/tex]. Putting these values in (i), we get

[tex]4=k\dfrac{1}{3^2}[/tex]

[tex]4=\dfrac{k}{9}[/tex]

[tex]4\times 9=k[/tex]

[tex]36=k[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]y=36\dfrac{1}{x^2}[/tex]

[tex]y=\dfrac{36}{x^2}[/tex]             ...(ii)

Putting [tex]x=5,y=c[/tex] in (ii), we get

[tex]c=\dfrac{36}{(5)^2}[/tex]

[tex]c=\dfrac{36}{25}[/tex]

Putting [tex]x=d,y=2[/tex] in (ii), we get

[tex]2=\dfrac{36}{d^2}[/tex]

[tex]d^2=\dfrac{36}{2}[/tex]

[tex]d^2=18[/tex]

Taking square root on both sides, we get

[tex]d=\pm \sqrt{18}[/tex]

[tex]d=\pm 3\sqrt{2}[/tex]

Therefore, the required values are [tex]c=\dfrac{36}{25}[/tex] and [tex]d=\pm 3\sqrt{2}[/tex].

Answer:

8.238

Step-by-step explanation:

it might not be right, but it was not fast either XDDD

dang, i took to long to tell u

:)

Find sin
A. 3/5
B.4/5
C.1
D.5/4

Answers

Answer:

Sin < A is 4 / 5

Step-by-step explanation:

sin = Opposite side / Hypotenuse side

sin = 8 / 10

sin = 4 / 5

Explain how rays AB and AC form both a line and an angle.

Answers

Answer:

Angles are rays with a shared endpoint.

Lines extend forever in either direction.

Rays AB and AC extend forever in either direction.

Step-by-step explanation:

Answer:

An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.

Step-by-step explanation:

A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.

Answers

Answer:

3.14

Step-by-step explanation:

Because you know it's the right answer.

complete the following proof by filling in the missing parts. NO LINKS

Answers

Answer:

below

Step-by-step explanation:

a.. it divides the triangle into two equal parts

b.. it is an isosceles triangle

c.. the base line of a mid point are equal

d.

g. two angles are equal in isosceles triangle

A lamp post 15 feet high casts a shadow
that is 12 feet long. At the same time a
stop sign 10 feet high casts a shadow how
many feet long?

Answers

Here you go! I decided to write it down for you. Sorry for the bad handwriting! :)
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