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
Solve the equations. Show the solution sets on a number line. Check your answers. c 9k+3 =−4
Naddika [18.5K]

Answer:

k = -7/9

Step-by-step explanation:

9k + 3 = -4

9k = -7

k = -7/9

On the number line just make a closed circle at -7/9. No line would be drawn, just the dot

-7/9 would be between 0 and -1, closer to -1

8 0
3 years ago
Read 2 more answers
Are these ratios equivalent?
Debora [2.8K]
<h3>Answer:  Yes</h3>

========================================================

Explanation

The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.

The ratio 16:20 simplifies to 4:5 when you divide both parts by 4

Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.

------------

Put another way,

(8 large)/(10 small) = (16 large)/(20 small)

8/10 = 16/20

8*20 = 10*16 ... cross multiply

160 = 160

We get a true equation, so the first equation is true as well.

This shows the ratios are equivalent.

-------------

Or you could have...

(8 large)/(16 large) = (10 small)/(20 small)

8/16 = 10/20

8*20 = 16*10

160 = 160

We get the same conclusion as before.

3 0
3 years ago
Find the slope of the line that goes through (0, 2) and (4, −2).
zmey [24]
M = (y2 - y1) / (x2 - x1) 

m = (-2 - 2) / (4 - 0) 

m = -4 / 4

m = -1 

The slope of the line that goes through (0, 2) and (4, -2) is -1. 
5 0
4 years ago
Read 2 more answers
Pls help me I don’t understand
ipn [44]

Answer:

m<PXQ Is Acute

m<QXN is Obtuse

Step-by-step explanation:

Acute Angles are lsss than 90⁰

Obtuse Angles are greater than 90⁰

Right angles are exactly 90⁰

6 0
3 years ago
HELP PLS
Maru [420]
Um we need to see the diagram in order to answer this question sorry...but have a good day :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • One store sells milk for $3.00 per gallon. A second store sells milk for $0.80 per quart. If you need two gallons, which store s
    6·2 answers
  • What transformation describes the graph of y=x+8
    9·2 answers
  • How many 2.25 pounds can you make with 24.75 pounds
    10·1 answer
  • If I toss a fair coin in real life and I get two heads in a row, does that change the probability of getting one tail in every t
    8·1 answer
  • What is the y- intercept from the table​
    10·2 answers
  • Kelly tells you that when variables are in the denominator, the equation one over two plus three over x equals three over four b
    6·1 answer
  • The function h(x)=x^2+3 and g(x)=x^2-6. If g(x)=h(x)+k, what is the values of k?
    15·1 answer
  • Claire is decorating a card for her friend. She has a square piece of paper with an area of 36 square inches. She wants to put
    13·1 answer
  • Write the equation of the line fully simplified slope-intercept form.
    12·1 answer
  • Please help me with this i need it
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!