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
skelet666 [1.2K]
2 years ago
13

Find the derivative of arctan(10x)

Mathematics
2 answers:
IgorC [24]2 years ago
8 0

Answer:

dy/dx=10/(1+100x^2)

Step-by-step explanation:

Let y=arctan(10x).

Then tan(y)=10x.

Differentiate both sides:

sec^2(y)×dy/dx=10

Divide both sides by sec^2(y):

dy/dx=10/sec^2(y)

By a Pythagorean identity:

dy/dx=10/(1+tan^2(y))

Recall tan(y)=10x:

dy/dx=10/(1+(10x)^2)

dy/dx=10/(1+100x^2)

sergij07 [2.7K]2 years ago
4 0

Answer:

\frac{10}{100x {}^{2} + 1 }

You might be interested in
Some one help me on this one
aleksandrvk [35]
The answer is III only, or D. 


We can start to solve this by knowing what the HL theorem means. The HL theorem, like its name implies, shows says that if a hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of a different triangle, then the triangles are congruent. The only triangle that we see a hypotenuse congruent in is in figure III. In figure II, those congruent sides are both legs while in figure I we just see 2 congruent angles. Now in figure III, we can also see that two legs are congruent because of the reflexive property. That means that the answer is III, or D. 
5 0
3 years ago
Where the numerator is larger than the denominator
gregori [183]
A fraction with a numerator that is greater than or equal to the denominator is known as an improper fraction.
4 0
3 years ago
Read 2 more answers
During the 2017 Major League Baseball season the Cleveland Indians played 162 games. They won 42 games more than they lost. What
DaniilM [7]

Answer: The team's win-loss record that year is 1.7

Step-by-step explanation:

During the 2017 Major League Baseball season the Cleveland Indians played 162 games.

Let x = the number of games that the

Cleveland Indians lost during the 2017 Major League Baseball season.

This means that the number of games that the Cleveland Indians won during the 2017 Major League Baseball season would be x + 42.

Total number of games played = sum of games won + sum of games lost. This is expressed as

162 = x + 42 + x

2x + 42 = 162

2x = 162-42 = 120

x = 120/2 = 60

Number of games that the Cleveland Indians lost during the 2017 Major League Baseball season is 60

The number of games that the Cleveland Indians won during the 2017 Major League Baseball season is 60 + 42 = 102

The team's win-loss record that year

would be wins/loses

= 102/60 = 1.7

6 0
3 years ago
Mia made three times as many baskets in yesterday’s basketball game as she did last Saturday. She scored a total of 24 baskets f
natima [27]

Answer:

8

Step-by-step explanation:

i did 24 divided by 3

hope this helps

-mercury

5 0
3 years ago
Math - Ratios
Llana [10]
The answer is 9 : 5
36:20
18:10
9:5
8 0
3 years ago
Other questions:
  • 8x10-^-3 is how many times as great as 4x10^-6
    11·1 answer
  • What is the value of q? <br><br> A.) 8.25<br> B.) 8.8<br> C.) 16.5<br> D.) 4.4
    7·2 answers
  • Cesium-137 has a half-life of about 30 years. A) Find the annual decay rate and round final result to 4 decimal places. B) Find
    15·1 answer
  • Round 73 to the nearest ten
    15·2 answers
  • Solve this problem as FAST as YOU can
    15·1 answer
  • Help with c and D pls
    8·1 answer
  • Three factories produce light bulbs to supply the market. Factory A produces 40%, 20% of the tools are produced in factory B and
    14·1 answer
  • Rachel is buying school supplies. She needs to buy a binder for $4.50, whiteboard markers for $7.00 and some mechanical pencils
    6·1 answer
  • (a) Tom is 7 years old. Bill is 5 years older than Tom.<br> Write Bill's age in terms of T.
    13·1 answer
  • What value is needed to complete the square? Show all steps<br><br> X^2-2x+___
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!