1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GREYUIT [131]
3 years ago
10

Derivative of 2 tan^3(x)+5 csc^4(x) ?

Mathematics
1 answer:
Leni [432]3 years ago
3 0

Answer:

f'(x) = 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]

Step-by-step explanation:

f' of tan(x) = sec²(x)

f' of csc(x) = -csc(x)cot(x)

General Power Rule: uⁿ = xuⁿ⁻¹ · u'

Step 1: Write equation

2tan³(x) + 5csc⁴(x)

Step 2: Rewrite

2(tan(x))³ + 5(csc(x))⁴

Step 3: Find derivative

d/dx  2(tan(x))³ + 5(csc(x))⁴

  • General Power Rule: 2 · 3(tan(x))² · sec²(x) + 5 · 4(csc(x))³ · -csc(x)cot(x)
  • Multiply: 6(tan(x))²sec²(x) - 20(csc(x))³csc(x)cot(x)
  • Simplify: 6tan²(x)sec²(x) - 20csc⁴(x)cot(x)
  • Factor: 2[3tan²(x)sec²(x) - 10csc⁴(x)cot(x)]

You might be interested in
Click on the picture thing... I need help ASAP​
Aleks [24]

Answer:

A. 576 in (1728/3)

B. 1152^2 in (576x2)

C. 6912^2 in (1152x6)

D. 576^2 ft (6912/12)

6 0
3 years ago
Taylor wants to center a 3.5 inch picture on a piece of paper that is 12 inches wide How
AVprozaik [17]

Answer:

The picture is 4.25 inches from the side of the paper

Step-by-step explanation:

- Taylor wants to center a 3.5 inch picture on a piece of paper that is

12 inches wide

- Lets think about that he want to put the picture in the center of the

paper, then divide the length of the paper into two equal parts and the

picture into two equal part

∵ The width of the paper is 12 inches

∵ 12 ÷ 2 = 6 inches

∵ The width of the picture is 3.5 inches

∵ 3.5 ÷ 2 = 1.75

- Now lets subtract from 6 inches (half paper) 1.75 inches (half picture)

to find the distance between the side of the paper and the picture

∵ 6 - 1.75 = 4.25

∴ The distance from the side of the paper to the picture is 4.25 inches

* <em>The picture is 4.25 inches from the side of the paper</em>

* Look to attached figure for more understand

7 0
3 years ago
Read 2 more answers
What did the term 4x have in common (have the same) with x,120x, -3x?
Lera25 [3.4K]

Answer:

They're all like terms (x)

7 0
3 years ago
Read 2 more answers
20 Point!
ludmilkaskok [199]

determinant: \sqrt{b^2-4ac}

(a) x^2+4x+5=0\\D=4^2-4\cdot1\cdot5={-4}\\D

D<0 means there are no real roots. there are two complex roots with imaginary components.

(b) D=16+20=36>0

D>0 means there are two real roots

(c) D = 20^2-4*4*25 = 0

D=0 means there is one real root with multiplicity 2


7 0
3 years ago
2 2/7 multiplied by 5 1/6
labwork [276]

Answer:

11 17/21

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Tim's taxicab business charges a fixed dollar amount to pick up passengers, plus a per-mile charge. The fixed cost, y, given as
    8·1 answer
  • -
    10·1 answer
  • What is the y and x intercept and I need to show work
    11·1 answer
  • A 6 feet tall boy cast a shadow of 9 feet at the same time of day at the shadow of the tree measures 21 feet what is the height
    9·1 answer
  • Solve.<br><br> -15 = -0.2k<br><br> k =
    8·1 answer
  • Round the following number to the nearest hundred<br><br> 123,456
    13·1 answer
  • How to factor the. problem completely
    9·1 answer
  • SOMEONE PLEASE HELP ME FINAL TEST
    11·2 answers
  • Write a linear equation that gives the rule for this table.
    9·1 answer
  • Gabe can travel 40 miles on his motorbike in the same time it takes Dena to travel 15 miles on her bicycle. If Dena rides her bi
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!