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
trapecia [35]
3 years ago
11

Find the derivative of the function. y = tan2(8θ)

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

16tan(8θ)sec²(8θ)

Step-by-step explanation:

Given the question :

Find the derivative of the function. y = tan2(8θ)

y = tan²(8θ)

USing chain rule :

dy/dx = (du/dx) × (dv/du) × (dy/dv)

Let u = 8θ ; du/dθ = 8

v = tan u ; dv/du = sec²u

y = v² ; dy/dv = 2v

Hence,

(dy/dθ) × dv/du × dy/dv

8 * sec²u * 2v

Where v = tan u ; u = 8θ

8 * sec²8θ * 2tan8θ

16tan(8θ)sec²(8θ)

You might be interested in
[[ 20 POINTS IF YOU ANSWER THIS QUESTION CORRECTLY. ]]
dezoksy [38]

Answer: the height of the kite is 106.065 ft

Step-by-step explanation:

The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Therefore,

Sin 45 = x/150

Cross multiplying, it becomes

x = 150Sin45 = 150 × 0.7071

x = 106.065 ft

3 0
3 years ago
What are the coordinates of the point (−1, 6) after a reflection across the x-axis?
Agata [3.3K]
The answer would be (-1,-6). Remember that the x-axis runs left to right and the y-axis runs up and down. Therefore, if you were to reflect it, just picture it being flipped over. If you go from (-1,+6) and you reflect it over the x-axis, both points are now in the bottom left quadrant where everything is negative. So, you get (-1,-6) The -1 doesn't change since it was already a -x value before and stayed in a negative area.
3 0
3 years ago
How to find the maximum value of a quadratic function?
Iteru [2.4K]
Suppose
y = a {x}^{2}  + bx + c
if a>0 it has min if 0>a it has max
min \: y = (4ac -  {b}^{2} ) \div 4a
8 0
3 years ago
A brick measures 30 cm × 10 cm × 7 1/2. How many bricks will be required for a wall 30 m long. 2 m high and 3/4 m thick?
Olenka [21]

Answer:

the answer is 45

Step-by-step explanation:

all you have to do is multiply 30*2*3/4

to get 45

5 0
3 years ago
Solve the equation -2x + 14 = 12 for x.
Ilia_Sergeevich [38]
<h3>−2x + 14 = 12</h3>

<em>Subtract</em><em> 14 </em><em>from both sides.</em>

<h3>−2x = 12 − 14</h3>

<em>Subtract </em><em>14</em><em> from </em><em>12 </em><em>to get </em><em>−2.</em>

<h3>−2x = −2</h3>

<em>Divide both sides by</em><em> −2.</em>

<h3>x= -2/-2</h3>

<em>Divide </em><em>−2</em><em> by </em><em>−2</em><em> to get 1.</em>

<h3>x = 1</h3>

<h2>Skandar</h2>
5 0
10 months ago
Other questions:
  • Lines are L and M are parallel. Find m&lt;1
    8·1 answer
  • Which function represents the graph of y=10(4)x ?<br><br><br><br> f<br><br> g<br><br> h<br><br> j
    11·2 answers
  • I'll mark the first and RIGHT answer brainliest! 20 POINTS
    7·1 answer
  • Please help meee!!!!!
    6·2 answers
  • ((2x^2+5x-3)/(1-4x^2))/((x^3-9x)/(x^4-6x^3+9x^2))<br> FIND X
    8·1 answer
  • The probability that your call to a service line is answered in less than 30 seconds is 0.85. Assume that your calls are indepen
    7·1 answer
  • A triangle has side lengths of 24 cm, 24 cm, and 24 cm.
    6·2 answers
  • Which choice is equivalent to the product below when x is greater than or equal to 0
    13·1 answer
  • Solve the quadratic equation below<br><br> (3x+9)(x−4)=0
    9·2 answers
  • Solve for X I will mark brainliest
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!