Find the derivative:
f(x)=tan[tex](x^{2} +5)[/tex]

Answers

Answer 1

Answer:

[tex] 2x \sec^2 (x^2 + 5) [/tex]

Step-by-step explanation:

[tex] f(x) = \tan (x^2 + 5) [/tex]

[tex] \dfrac{d}{dx} \tan u = \sec^2 u \dfrac{d}{dx} u [/tex]

[tex] \dfrac{d}{dx} \tan (x^2 + 5) = \sec^2 (x^2 + 5) \dfrac{d}{dx} (x^2 + 5) [/tex]

[tex] \dfrac{d}{dx} \tan (x^2 + 5) = [\sec^2 (x^2 + 5)]2x [/tex]

[tex] \dfrac{d}{dx} \tan (x^2 + 5) = 2x \sec^2 (x^2 + 5) [/tex]


Related Questions

Solve by making a proportion. If seven movie tickets cost $57.40, how much would 5 tickets cost?

PLSSS i need help

Answers

Answer: $41

work out what one ticket is:

$57.40/7=$8.20

and then multiply by 5

$8.20*5=41

Answer:

$41

Step-by-step explanation:

Rewrite the product as a power: [tex]x^{7} y^{7}[/tex]

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] {x}^{7} {y}^{7} = ({x \times y})^{7} = ({xy})^{7} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer: ❤️❤️(x*y) 7

=(xy) 7

Pierre, an art dealer, earns 25% commission of the art pieces he sells. He earned $10,800 this month. What is the total amount of the art pieces he sold?

Answers

Answer:

2700

Step-by-step explanation:

25 percent of 10800 is 2700. hope this helped, this was a bit rushed!xx

Answer:

sry I need points

Step-by-step explanation: If you hadn't done it to me I wouldn't do it to you

What vector describes the transition depicted below !! Please help !!!

Answers

Answer:

vector v(4;-3)

Step-by-step explanation:

A square with a side length of 4 inches is dilated by a scale factor of 3/2. What is the length of a side of the dilated
square?

Answers

The answer is 6 inches

Tickets for the school play cost $7 each. Each member of the cast gets 1 free ticket for a family member. For the run of the play, 210 tickets are collected, including all the free tickets, and the box office makes $1,358 from ticket sales. The equation that models this situation is7(210 – c) = 1,358 where c is the number of cast members. How many cast members are in the play?

Answers

Answer:

there are 16 cast members.

Step-by-step explanation:

7(210-c)=1358 multiply everything in the parentheses by 7

1470-cx=1358

-7c=-112 subtract 1470 from both sides

c=16 divide -112 by -7

c=16

de un numero se sabe que si a su cuadrado le restamos su mitad, se obtiene el mismo numero, Cuál es?

Answers

Answer:

2

Step-by-step explanation:

el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2

Answer: 2

Step-by-step explanation : el 2 al cuadrado es 4 si le restas su mitad(2) tu resultado seria 2    Espero que ayude Ten un día maravilloso :)

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

What do you need help with?

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What is the coefficient of the second term in this expression?
a2c3+a3c+1+ac2

Answers

Answer:

1

Step-by-step explanation:

I assume the term is , and since there is no visible coefficient the coefficient is implied to be 1

Yo could someone help...

Answers

Answer:

42

Step-by-step explanation:

2(4x+2)=4x+44 THE MIDSEGMENT IS ALWAYS HALF OF THE BASE

8x+4=4x+44

4x=40

x=10

4(10)+2

40+2

42 Hope this helped!

Select all true statements:
Distributive property is multiplication of one term with many terms.
Distributive property is how to solve expressions in the form of 'a(b+c)"
Apply the distributive property requires me to multiply first, before doing addition.
a(b+c) = a(b) + ac)

Answers

Answer:

im almost 100% sure that all apply

Step-by-step explanation:

Answer:

Distributive property is how to solve expressions in the form of 'a(b+c)"

and

Apply the distributive property requires me to multiply first, before doing addition.

a(b+c) = a(b) + ac)

please help me. It's urgent​

Answers

Answer:

a) 7/5

Step-by-step explanation:

[tex]y-\frac{y-1}{2}=1-\frac{y-2}{3} \\Through\ the\ butterfly\ method\ of\ resolving\ denominators\ ,\\\frac{2y-(y-1)}{2} = \frac{3-(y-2)}{3} \\\frac{2y-y+1}{2} = \frac{3-y+2}{3} \\\frac{y+1}{2} =\frac{5-y}{3} \\3(y+1)=2(5-y)\\3y+3=10-2y\\3y+2y=10-3\\5y=7\\y=\frac{7}{5}[/tex]

HELP PLZ ILL GIVE U BRAINLY THINGY IF CORRECT

Answers

Answer:

1 and 8 are parallel

5 and 14 are not parallel

2 and 3 are paralell

Step-by-step explanation:

Tom have 47 quaters his dad gave him 14 how many top have in all

Answers

Answer:

61 or 33

Step-by-step explanation:

47+14=61 or 47-14 =33

Answer:

I can help

Step-by-step explanation:

Quarters in help is 61 but in money its $16. Hope this helps.

if a square has an area of 324 ft what is the length of each side

Answers

Answer:

162

Step-by-step explanation:

324/2 because a square has sides that are all equal, so the area is 2 times the length of a side

Answer:

18 ft.

Step-by-step explanation:

area = L²    where area = 324 ft²

324 = L²

L = √324

L = 18 ft.

How many solutions does the following equation have?
7(y + 3) = 5y +8
Choose 1 answer:
A
No solutions
B
Exactly one solution
Infinitely many solutions

Answers

Answer:
Exactly one solution

Explanation:
The first step we need to take to find the answer is to find the value of y.

7(y+3)=5y+8
Expand the parentheses
7y+21=5y+8
Subtract both sides by 21
7y+21-21=5y+8-21
7y=5y-13
Subtract both sides by 5y
7y-5y=5y-13-5y
2y=-13
Divide both sides by 2
2y/2=-13/2
y=-6.5

Now, we plug y back into the original equation.

7(y+3)=5y+8
7(-6.5+3)=5(-6.5)+8
Expand the parentheses
-45.5+21=-32.5+8
-24.5=-24.5

Because both sides of the equation is equal and the equation is true, we can conclude that the equation has one solution.

I hope this helps!

Pls help me I need help

Answers

Answer:

$4.80 per square foot

Step-by-step explanation:

1200 ÷ 250 = 4.8

Hope this helps. Pls give brainliest.


1) Janet and Miriam each bought a bicycle for $140.
A few months later they both sold it...
Janet sold hers for 30% less than the original price (what she paid for it)
Miriam sold hers for 25% less than the original price (what she paid for
it)
How much more money did Miriam get than Janet?

Answers

Answer:

$7

Step-by-step explanation:

JANET:

140 * 0.7 = 98

MIRIAM:

140 * 0.75 = 105

105-98=7

I need help with both of these

Answers

Answer:

12) 0.01 meter

13) B is the correct

Step-by-step explanation:

Whats 9+10? Sjjsmslaisusbemkdd

Answers

Answer:

21 jk its 19

Step-by-step explanation:

Will give Brainlyest answer!

Answers

Answer:

c

Step-by-step explanation:

What is the value of the underlined digit?

5,682, 450,003

A. eighty thousand
B. eighty million
C. eighty-two million
D. eighty billion

Answers

There’s none underlined but I’m guessing you mean by Letter C being the answer.

What is the tip answer?

Answers

Answer:

100.60

Step-by-step explanation:

15% of 87.48 is 13.12

[tex]a/87.48[/tex] x [tex]15/100[/tex]

cross multiply, you get 13.12

add up 13.12 and 87.48, you get 100.60

Geometry help don’t take points if I get 70%+ I’ll give some away!!

Answers

The answer is x = 30

Nathan took his car in for service and repairs. He had a coupon for 10% off.

Original Prices
• Labor $254.58
• Parts $333.90
• Other $64.42

Which amount is closest to Nathan's total costs after the 10% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]

Answers

Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

For those who are good with equations....(unlike me when it comes to this)

Answers

Answer:

a = 5

Step-by-step explanation:

When the coefficients of the variables are equal with different constants, then you will get an equation which is never true.

For this particular equation, when a on the right side has a coefficient of 5, you will get the equation: 4(a - 2) + a = 5a - 4.

When you distribute the factors in the parenthesis and add the like terms of a together, 4(a - 2) + a will become 5a - 8. This is because 4(a - 2) + a = 4(a) + 4(-2) + a = 4a - 8 + a = 5a - 8.

Now when you simplify 5a - 8 = 5a - 4 by subtracting 5a from both sides, you will get an equation with unlike constants. For instance 1 = 0.

Now:

5a - 8 = 5a - 4

-5a -5a

-8 = -4

This is never true, so therefore, there is no solution.

Answer:

It is 5

Step-by-step explanation:

1.) Use the following information to solve the questions. Kay sold 200
tickets for her school auction. Adult tickets cost $8 and child tickets cost
$5. Kay collected $1,225 in all. How many tickets did Kay sell?
8
5
200
O 1,225

Answers

9514 1404 393

Answer:

75 adult tickets125 child tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (200-a) is the number of child tickets sold, and the revenue is ...

  8a +5(200 -a) = 1225

  3a = 225 . . . . . . . . . . subtract 1000, simplify

  a = 75 . . . . . . . . . . . . .divide by 3

  200 -a = 125

75 adult ($8) and 125 child ($5) tickets were sold.

__

Additional comment

The question asked here is "how many tickets did Kay sell?" The second line of your problem statement tells you the answer: "Kay sold 200 tickets ...". We have assumed that you are interested in the breakdown of tickets sold, even though that is not the question that is asked here.

Write the equation of the line that passes through the points (-6, 9) and (0, -9).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Help‼️

Answers

Answer:

slope(m)= -3

Step-by-step explanation:

What is the value of x?
What is the value of y?​

Answers

answer:

y=4

Step-by-step explanation:

given

DG=GF

10y-4=7y+8

3y-4=8 (subtract both side by 7y)

3y=12 (add both side by 4)

y=12/3

y=4 (ans)

What is the equation of the line that has a slope of -6/5 and goes through the point (5, -4)?

Answers

Answer:

Step-by-step explanation:

Given

slope =6/5

point =(5, -4)

So

the equation of the line =

(y-y1)=m(x-x1)

Where X1=5,y1=-4,m=6/5

Put the values

(Y+4)=6/5(x-5)

5(Y+4)=6(x-5)

5y+20=6x-30

5y-6x=-30-20

-6x+5y=-50

6x-5y=50.

So the equation of the line is 6x-5y=50.

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