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
m_a_m_a [10]
3 years ago
8

Find the derivative of the function. y = sin−1(6x + 1)

Mathematics
1 answer:
liraira [26]3 years ago
7 0

If you don't know the derivative of the inverse of sine, you can use implicit differentiation. Apply sine to both sides:

y=\sin^{-1}(6x+1)\implies\sin y=6x+1

(true for <em>y</em> between -π/2 and π/2)

Now take the derivative of both sides and solve for it:

\cos y\dfrac{\mathrm dy}{\mathrm dx}=6

\dfrac{\mathrm dy}{\mathrm dx}=6\sec y

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\cos\left(\sin^{-1}(6x+1)\right)}

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac6{\sqrt{1-(6x+1)^2}}

You might be interested in
81a raised to the power of 2 minus 25
muminat

81a²-25 would be the answer I'm pretty sure. Hopefully I helped.

8 0
3 years ago
Read 2 more answers
PLEASE ANSWER!!
s344n2d4d5 [400]
D
{x}^{2}  + 2xy \\  { ( - 3)}^{2}  + 2( - 3)(5) \\ 9 + 2( - 15) \\ 9 + ( - 30) \\  - 21
7 0
3 years ago
Use the figure below to complete the following problem
yarga [219]

Answer:

60

Step-by-step explanation:

<H + <T = 180

2x+ 60 + x + 30 = 180

3x + 90 = 180

3x = 90

 x = 30

<T = x + 30 = 30 + 30 = 60

Answer

<T = 60

6 0
3 years ago
william earns$13 an hour working.last week he worked h hours and three times as many hours. write an expression for the amount o
drek231 [11]
13 x h = A or answer

4 0
3 years ago
9 &lt; 4(x+9) -7 - 25<br> Solve , intervals, and graph
Zigmanuir [339]

Answer:

x> 5/4

Step-by-step explanation:

9<4(x+9)−7−25

Step 1: Simplify both sides of the inequality.

9<4x+4

Step 2: Flip the equation.

4x+4>9

Step 3: Subtract 4 from both sides.

4x+4−4>9−4

4x>5

Step 4: Divide both sides by 4.

4x/4>5/4

x>5/4

pls give brainliest

5 0
3 years ago
Other questions:
  • PLEASE HELP ME OUT PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
  • What is the value of 3 in 803,040
    6·2 answers
  • Biologists tagged 196 fish in a lake on January 1. On February​ 1, they returned and collected a random sample of 42 ​fish, 14 o
    6·1 answer
  • How do you simplify x^2-4x-21 divided by x+3
    7·1 answer
  • (Write this in a verbal expression)<br><br> a+9
    6·1 answer
  • If the cost 12 oranges is $6 and someone wanted to know the price of 1 orange. What vocabulary word represents the cost of that
    8·1 answer
  • Which expressions are equivalent to 25.24? Check all that apply.
    9·2 answers
  • =. Diego and Priya are each saving money. Diego starts with $80 in his savings account and adds $5
    10·1 answer
  • What one for question 9 I have been stuck on this one
    6·1 answer
  • Find the radius of this sphere. Then, calculate the volume of a sphere.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!