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]
2 years ago
8

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

Mathematics
1 answer:
liraira [26]2 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
Help me out thanks u !!!
o-na [289]

Answer:

116

Step-by-step explanation:

All angles will add up to 360°

So just do 360 -55 -79 -110 = 116

3 0
2 years ago
Read 2 more answers
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each sale
Katarina [22]

Answer:

12 sales

Step-by-step explanation:

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

4 0
2 years ago
there are 32 pets at pet store .there are 3 times as many mammals as reptiles in store.. how many reptiles are there at the pat
mr_godi [17]
Well i would do this  32*3=96 but not sure.
7 0
2 years ago
What is the answer in the remainder
ira [324]

Answer:

12 with a remainder of 5

Step-by-step explanation:

have a good day! :)

7 0
2 years ago
Read 2 more answers
HELPPPPPPP MEEEEEEEEE
boyakko [2]

Answer:

The first table

Step-by-step explanation:

<em>the third and fourth table are incorrect because it says Jo bought </em><em>25 apples </em><em>in total but in the third and fourth table there are </em><em>35 apples </em><em>in total.</em>

<em>the second table is incorrect because it said </em><u><em>three of the 12 large apples were red. </em></u><em>In the second table its says 12 large apples when its supposed to say three and the total in 15 instead of 12.</em>

3 0
3 years ago
Read 2 more answers
Other questions:
  • SELECT ALL of the expressions that are equivalent to 4√ 5
    10·1 answer
  • Find the area bounded by the curves x = y2 - 4y and x = 2y - y2. Your work must include an integral in one variable.
    12·1 answer
  • A​ singer-songwriter wishes to compose a melody. each note in the melody must be one of the 1010 notes in her vocal range. how m
    10·1 answer
  • Find the mean of the following data set.
    14·1 answer
  • (SAT Prep) Find the value of x.
    15·2 answers
  • Find the value of f(3) for the function.<br> f(a)=5(a+4)- 9
    11·1 answer
  • What is the area of the rectangular prism
    6·1 answer
  • during flu season there was. 124 students out of school on a particular day if there are 775 students in the school what percent
    7·2 answers
  • Given: x+21=7(x+9)<br> Find: x^2+5x
    10·1 answer
  • Plz help asap I’ll give you 100 points
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!