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
Sedaia [141]
3 years ago
6

Find y’ for y=7sec^3x

Mathematics
1 answer:
laiz [17]3 years ago
6 0
Taking the derivative of 7 times secant of x^3:
We take out 7 as a constant focus on secant (x^3)
To take the derivative, we use the chain rule, taking the derivative of the inside, bringing it out, and then the derivative of the original function. For example:
The derivative of x^3 is 3x^2, and the derivative of secant is tan(x) and sec(x).
Knowing this: secant (x^3) becomes tan(x^3) * sec(x^3) * 3x^2. We transform tan(x^3) into sin(x^3)/cos(x^3) since tan(x) = sin(x)/cos(x). Then secant(x^3) becomes 1/cos(x^3) since the secant is the reciprocal of the cosine.

We then multiply everything together to simplify:

sin(x^3) * 3x^2/ cos(x^3) * cos(x^3) becomes

3x^2 * sin(x^3)/(cos(x^3))^2

and multiplying the constant 7 from the beginning:

7 * 3x^2 = 21x^2, so...

our derivative is 21x^2 * sin(x^3)/(cos(x^3))^2


You might be interested in
12(3w+8)=25 what is the w
Mashcka [7]
12(3w+8)=25
36w+96=25 ( I used the distributive property)
          -96 . -96
36w=-71
w=-1.972222.... ( I divided both sides by 36)
 


         

7 0
3 years ago
Jeanine Baker makes floral arrangements. She has 10 different cut flowers and plans to use 6 of them. How many different selecti
Alex Ar [27]

Answer:

210 ways

Step-by-step explanation:

In the question, the combination should be computed.

Number of ways of selection 6 flowers = nCr =10C6

                                           \frac{n!}{r!(n-r)!}  =\frac{10!}{ 6!(10-6)!}

                                                        =3628800/17280

                                                       =210

Therefore, there are 210 ways in which 6 flowers can be selected from the available 10 flowers.

4 0
3 years ago
What is the rate of change from x = n to x = 2n?​
puteri [66]

Answer:

\dfrac{-8}{\pi}

Step-by-step explanation:

The rate of change of the function f(x) from point x_1 to point x_2 can be calculated using formula

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

Given

x_1=\pi\\ \\x_2=2\pi

From the graph of the function

f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4

So, the rate of change is

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}

5 0
3 years ago
On a given day at a local amusement park, 77% of those in attendance rode the roller coaster. There were 1,200 people at the par
Svetach [21]

924

77% of 1200 is 924

5 0
3 years ago
Help!!!! Will give brainliest!!!!
Gwar [14]

Answer:

is true your answer hhhhhhhhgghdhxhhchdjfjf

5 0
2 years ago
Other questions:
  • In which quadrant is the point (19, -4)?
    7·1 answer
  • The height and diameter of a cone-shaped storage tank are 9 feet (height) and 14 feet
    12·1 answer
  • MOST BRAINLIEST IF CORRECT
    14·2 answers
  • The measure of angle B is 839, and the measure of angle C is 420.
    9·1 answer
  • Marcus went to a football game with $55. He bought his ticket at the door, 1 point
    9·1 answer
  • 2/6 + 1/3 =<br><br> _ / _ + _ / _ = _ / _ = _ / _
    6·2 answers
  • Help plzzzz I need the correct answers ASAP and that's my last marking period 4 and I'm in grade 12th
    7·1 answer
  • You guys know what 66÷124 is
    12·2 answers
  • Please help Fr pleased I’m begging you
    12·1 answer
  • Help me i am in middle school
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!