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
If the circumference is 34.54 units what is the radius
irinina [24]
<span>5.497211734394065. radius confirmed!</span>
7 0
3 years ago
The standard form of the equation through the points (0,5) and (-2, -1) is?
In-s [12.5K]
Answer: y = 3x + 5

Look at graph:

4 0
2 years ago
What is math im cant speak
UkoKoshka [18]
Math is a subject which many people find disgusting and horrible but which i favour over others<span />
7 0
3 years ago
Read 2 more answers
Nadia says the hypotenuse of this right triangle has a length of 73 because the Pythagorean theorem states that (28 + 45) square
Vaselesa [24]

Answer:

Third answer (she is incorrect because she should have squared each leg length and then found the sum.)

Step-by-step explanation:

The pythagorean theorem states that a²+b²=c². This is not equivalent to (a+b)²=c² (due to FOIL expansion, this expands to a²+2ab+b²=c²).

This matches with the third answer, as she has to do a² and b≥ separately.

**This question involves expanding perfect squares, which you may wish to revise. I'm always happy to help!

6 0
3 years ago
I need help solving a system of linear equation, and it says to solve it by Substitution.
olga_2 [115]
2x - 3y = -24
x+ 6y = 18

you solve the first one by the x:

2x = -24 + 3y

x = (-24+3y)/2

then you substitute what you found in the other equation and you solve by y

(-24+3y)/2 + 6y = 18                   multiply everything by 2

-24 + 3y + 12y = 36

3y + 12y = 36 + 24

15y = 60

y = 60/15

y = 4

Good job! You found your y! :D

Now let's substitute the y in the first equation with 4:

2x - 3(4) = -24

2x - 12 = -24

2x = -24 + 12

2x = -12

x = -12/2

x= -6

Done!! ;) <span />
6 0
3 years ago
Read 2 more answers
Other questions:
  • Use the Four-Step Approach to solve the given problem.
    15·1 answer
  • PLEASE HELP!!!!!!
    12·1 answer
  • WORTH 30 : can you please help me with my homework questions 14-18
    8·1 answer
  • Estimate the product of the numbers 908 x 67 by rounding each number to the nearest hundred. The estimated product is ?
    9·1 answer
  • I need these three solved. I have a lot of math to do. the directions say solve each system of equations using substitution. sho
    5·1 answer
  • 3. Using the sample size of 800 and the proportion 0.47, calculate the margin of error associated with the estimate of the propo
    11·1 answer
  • What is the volume of the cylinder below?
    15·2 answers
  • A line passes through the point (4, -6) and has a slope of 3/2 . Write an equation in slope-intercept form for this line.
    6·2 answers
  • Addison painted her room. She had 50 square meters to paint, and she painted at a constant rate. After 2hours of painting, she h
    5·1 answer
  • Can a triangle have sides of lengths 9,17,15? Show why or why not.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!