Simple true or false...

d/dx{x^3e^x]=x^3e^x(3x+2)

True or false

Answers

Answer 1

Answer:

False.

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Factoring

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Rule [Basic Power Rule]:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]:                                                                             [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{d}{dx}[x^3e^x][/tex]

Step 2: Differentiate

Derivative Rule [Product Rule]:                                                                     [tex]\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x][/tex]Derivative Rule [Basic Power Rule]:                                                             [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x][/tex]Exponential Differentiation:                                                                         [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x[/tex]Factor:                                                                                                           [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex]

∴ [tex]\displaystyle \frac{d}{dx}[x^3e^x] \neq x^3e^x(3x + 2)[/tex]  but  [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex].

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

Unit: Differentiation


Related Questions

Ryan has a collection of 1,200 pennies.

25% are dated before 1980
35% are dated from 1980-2000
the rest are dated after 2000
How many pennies in Ryan's collection are dated after 2000?

Answers

Answer:

480 Pennies.

Step-by-step explanation:

25% (1980) + 35% (1980-2000) = 60%

40% (2000+) Percent of 1200 is 480 Pennies.

If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

Rewrite [Exponential Distributive Property]:                                                  [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents:                                                   [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply:                                                                        [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify:                                                                                                            [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide:                                                                          [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

Take x^2 common and cancel.

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

What is the correlation coefficient of y=2.6x+43.1?

Answers

Answer:

\mathrm{X\:Intercepts}:\:\left(-\frac{431}{26},\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:43.1\right)

Step-by-step explanation:

Can someone Please help me on this easy math problem

Answers

Answer:

the answer is x4/19P because u add the top of the numerator and times the denominator

An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet

Answers

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

What is the formula for guess work pricing?

Answers

Answer:

What is the formula for pricing?

Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.

Step-by-step explanation:

The original price of a camera was 7200.00. I
was given a discount of 36%. How much did I pay for
the camera?

Answers

Answer:

$4,608.00

Step-by-step explanation:

Subtract 36% from 7,200 and you get 4,608.

2x + 16 = 22x

Variables on both sides

Answers

answer: Subtract sixteen from both sides of the equation

2 +16 -16=22x -16

x = 4/5

Please help me with this problem TwT. Triangles.

Answers

Answer:

X = 80°

Step-by-step explanation:

it's an isosceles triangle. you can tell because of the two sides being 14 and the bottom being 18

this means the two bottom angles are the same so the other would also be 50°

Since a triangle has 180° between the three sides, you would subtract 180-100 and get the last angle

20-5+15(25)=b+3+65(23)

Answers

Answer:

-1108

Step-by-step explanation:

Answer:

-b=-1108

Step-by-step explanation:

20-5+375=b+3+1495

-375 -375

20-5=b+3+1420

15=b+1423

-b -b

-b+15=1423

-15 -15

-b=1108

20-5+375=-1108+3+1495

390=390

John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."

Answers

Answer:

Let the no of quarters be x

According to given,

x + (x+4) + (x+4)/2 = 6

x + (x+4) + (x + 8)/2 = 6

x + x + 4 + (x + 8)/2 = 6

[2 (2x + 4) + (x + 2)]/2 = 6

4x + 8 + x + 2 = 6 × 2

5x + 10 = 12

5x = 12 - 10

5x = 2

x = 2/5

•°• x = 0.4

1 doller = 4 quarter

0.4 doller = p

p = 0.4 × 4 = 1.6

•°• There are 1.6 quarter.

Quarters be xNickels be x+4Dimes be 2(x+4)

ATQ

[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]

[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]

[tex]\\ \sf\longmapsto 4x+12=6[/tex]

[tex]\\ \sf\longmapsto 4x=-6[/tex]

[tex]\\ \sf\longmapsto x=-3/2[/tex]

[tex]\\ \sf\longmapsto x=|-1.5|[/tex]

[tex]\\ \sf\longmapsto x=1.5[/tex]

PLZ HELP, I need it done in like 20 mins. PLZZZ

Answers

Answer:

16.8

Step-by-step explanation:

Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator

One pentagon weighs how much

Answers

Answer:

11

Step-by-step explanation:

the answer would be 11 pounds!

Sammie pays $30 for a bag that she buys at a discount of 50%. What is the price of the bag without the discount?

A.
$30
B.
$45
C.
$60
D.
$80

Answers

Answer:

Ti's C, $60

Step-by-step explanation:

30 = 50% ---> b/c 100% - 50% = 50%, and 30 is sum

So mutiply by 2, to get 100%

60 = 100%

60 is the price of the bag

Jacob takes 3 4 h to fill one shelf at the supermarket. Henry can fill the shelves in half Jacob’s time. There are 15 shelves. Henry and Jacob work together. How long will it take to fill the shelves? Justify your answer.

Answers

Answer:

  3 3/4 hours

Step-by-step explanation:

If Henry can fill 2 shelves in the time it takes Jacob to fill one, working together they can fill 3 shelves in 3/4 hour, an average rate of 1/4 hour per shelf. It will take them 15 times 1/4 hour to fill 15 shelves.

Henry and Jacob working together can fill 15 shelves in 3 3/4 hours.

Ed and Sally are taking a tour of Paris. There are 333 different types of tours (walking tour, bike tour, and trolley tour) and 222 different times each tour is offered (morning and evening). They each created a display to represent the sample space of randomly picking a type of tour and a time.
Whose display correctly represents the sample space?

Answers

Answer: the answer is sally only


What is mL BCD ?









THANK U <3

Answers

m∠BCD= m∠ACB ÷ 2 = 134.76° ÷ 2 = 67.38°

Ok done. Thank to me :>

Write 72,658 in expanded form using
exponents to write powers of 10.

Answers

ayo how do answer these

Step-by-step explanation:

7 x 10^4

+ 2 x 10^3

+ 6 × 10^2

+ 5 × 10^1

+ 8 X 10^0

Which is an equation of a line parallel to y=7x−3 that has a y-intercept of 5?

Answers

XxxxAnswer:

Step-by-step explanation:xdd

Help ASAP pleaseee


A line passes through the points (-4,1) and (-3,3) this line can be modeled by the equation y=mx+b


What is the values of m and b?

Answers

Answer:

2/1=2

Step-by-step explanation:

y=mx+b= 2

3-1=2

-3-(-4)=1

2/1=2

Answer:

m = 2 and b = 9

Step-by-step explanation:

i think yes, bc the equation is y = 2x + 9

Each exterior angle in a regular polygon has a measure of 18. How many sides does the polygon have? What is the sum of the measures of the interior angles?

Answers

Answer:

20 sides ( Icosagon )

3240 is the interior angles sum

Step-by-step explanation:

360 ÷ 18 = 20

180 - 18 = 162

162*20 = 3240 is the interior angles sum

please help me im only looking for real answers

if you put a link to an inappropriate site i WILL report it

Answers

Answer: y=3/2x

Step-by-step explanation:

First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.

An equation in slope intercept form is as follows:

y=mx+b

To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.

We can use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex], to find the slope, m.

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

Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.

A line passes through the point (9,5) and
has a slope of 1/3 Write an equation of the line in
slope-intercept form

Answers

Answer:

Answer: y=1/3x-6

if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank

Answers

The weekdays
Because there are 5 week days so most likely they will meet up on those days

Write the equation of the line parallel to y - 3x=4 and containing (3,10)

Answers

Y=3x+4 so parallel can be Y=3x+1 or Y=3x-1 like that you should have 3x

out of 300 students at rsm summer camp 180 are boys what fraction of all students are boys

Answers

Answer:

3/5

Step-by-step explanation:

so first of all...

out of

300

students,

180

are boys.

180/300

which, simply by 60

3/5

so.. 3/5 of the people at rsm (whatever that is) summer  camp are boys! Explanation isn't good, but you didn't really ask for it so i think you're ok... I guess. Now i just need an answer to my problem...

In rsm summer camp, fraction of boys is 3/5.

What is a fraction?

A fraction is a numeral that represents a rational number.

Let a and b be two numbers, then their fraction can be represented as a/b.

Given that,

Total number of students at rsm summer camp = 300.

Total number of boys at rsm summer camp = 180.

To find the fraction of boys to all students.

Fraction of boys = number of boys / total number of students

                           = 180 / 300
                           = 18 / 30

                            = 3 / 5

The required fraction of boys is 3/5.

To know more about Fraction on:

https://brainly.com/question/10708469

#SPJ2

PLEASE HELP!!! I’ll mark as brainiest!

Answers

Answer:

1. (-2, 3)

2. (-4, -6)

3. (3, -6)

4. (-5, 2)

5. (9, 1)

1. (-3, -2)

2. (6, -4)

3. (6, 3)

4. (-2, -5)

5. (-1, 9)

Please helppp asappppp

Answers

Answer:x=10

Step-by-step explanation:

First add 90+80 which is 170. Then subtract 180-170 which is 10. If i'm correct, the answer should be 10

Enter your answer in the box.
What is the value of x?

Answers

Based on the shape and the angles already given in the diagram, the value of x must be 80°

The interior angles of a triangle must always add up to 180°

This means that the value of x is:

180 = 70 + 30 + x

180 = 100 + x

x = 180 - 100

x = 80°

In conclusion, x is 80°.

Find out more about the interior angles of a triangle at https://brainly.com/question/7888180.

14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55

Answers

Answer:

The second one or B

Step-by-step explanation:

1/4 = 0.25 then 0.55 then 79% = 0.79

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