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
Ivan
3 years ago
10

G(x)=(cosθsinθ)^4 what's the differential

Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

sin²2θ. (cos θ sin θ). cos 2θ

Step-by-step explanation:

finding g'(x)

g'(x)

  • (x^n)' = nx^(n -1)

= 4 (cosθsinθ)³ . { cosθ. (sinθ)' + sinθ. (cosθ)' }

  • (cosθ)' = - sinθ
  • (sinθ)' = cosθ

= 4 (cosθsinθ)³ { cosθ. cos θ + sinθ.(-sin θ)}

= 4 (cosθsinθ)³{ cos²θ - sin²θ}

  • cos²θ - sin²θ = cos 2θ
  • 2sinθ cosθ = sin 2θ

= (4 cosθ sinθ)². (cosθ sinθ). { cos²θ - sin²θ}

= <u>sin²2θ. (cos θ sin θ). cos 2θ</u>

You might be interested in
-5 3/4 - 3 1/2 =?<br><br> A -2 1/4 <br> B 2 1/4 <br> C -9 1/4 <br> D -8 2/3
kenny6666 [7]
- 3 1/2 can be rewritten as - 3 2/4

New equation will make it easier to combine like terms:

- 5 3/4 - 3 2/4

- 5 - 3 = - 8 

3/4 + 2/4 = 5/4 

You now have - 8 5/4. Simplify to get - 9 1/4. 

Your answer is option C. 
3 0
2 years ago
The bisector of a straight angle forms two acute angles.<br> True <br> False
aksik [14]
It is a false statement that the <span>bisector of a straight angle forms two acute angles. The correct option among the two options that are given in the question is the second option or the last option. I hope that this is the answer that you were looking for and and it has actually come to your desired help.</span>
7 0
3 years ago
Thirty is 12% of what number?<br><br> 3.6<br><br> 360<br><br> 2.5<br><br> 250
Irina-Kira [14]
Thirty of 12% is 3.6
3 0
3 years ago
Read 2 more answers
Itzel has $10.25 to spend at
svetoff [14.1K]

Answer:

yes. The total would be $9.90

4 0
3 years ago
17’4” multiply by 17’5”
emmasim [6.3K]
17/5×5/4=17/4

Hope this helps
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which expression is equal to 3(56)? 3(50 + 6) 3(50) + (6) 5(30 + 6) 5(30) + 5(6)
    11·2 answers
  • How many times does 4 go into 78
    11·2 answers
  • Explain each step in the process of finding the area of a circle given the circumference.
    5·2 answers
  • Describe two ways you can use a table to write a proportion
    5·1 answer
  • What are the coordinates of point B in the diagram
    14·1 answer
  • She took $20 with her to the movies. When she come back with $6. How much money did she spend
    6·2 answers
  • The University of Metropolis requires its students to pass an examination in college-level mathematics before they can graduate.
    5·1 answer
  • Shinzou wo sasageyo
    5·2 answers
  • 10 POINTS answer ASAP if you can
    10·1 answer
  • 3 1/4 hours convert to minutes
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!