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
iogann1982 [59]
2 years ago
7

0%5C%3A%202x%20%5C%3A%20%20Find%20%5Cfrac%7Bdy%7D%7Bdx%7D%20" id="TexFormula1" title=" \sf \large \: If \: y = Sin x \: * Cos \: 2x \: Find \frac{dy}{dx} " alt=" \sf \large \: If \: y = Sin x \: * Cos \: 2x \: Find \frac{dy}{dx} " align="absmiddle" class="latex-formula">
Thanku!​
Mathematics
2 answers:
DIA [1.3K]2 years ago
8 0

Answer:

  • cos (x) cos (2x) - 2sin(x) sin(2x)

Solution:

(See the solution in the photo)

dybincka [34]2 years ago
4 0

Answer:

\sf -5\cos \left(x\right)+6\cos ^3\left(x\right)

explanation:

\sf y  =  sin(x) * cos(2x)

\rightarrow \sf \frac{d}{dx}\left(sin\left(x\right)\ * \:\:cos\left(2x\right)\right)

\sf \bold {Apply\:the\:Product\:Rule}:\quad \left(f\cdot g\right)'=f\:'\cdot g+f\cdot g'

\rightarrow  \sf \frac{d}{dx}\left(\sin \left(x\right)\right)\cos \left(2x\right)+\frac{d}{dx}\left(\cos \left(2x\right)\right)\sin \left(x\right)

\sf \bold{ Apply \ differentiation \ rule \ \  \ : }   \ \ \ sin(x) = cos(x)  \ \ and  \ \ cos(x) = -sin(x)

\rightarrow  \sf \cos \left(x\right)\cos \left(2x\right)+\left(-\sin \left(2x\right)\ * \:2\right)\sin \left(x\right)

\rightarrow  \sf \cos \left(x\right)\cos \left(2x\right)\left-2\sin \left(2x\right)\sin \left(x\right)

\sf \bold {use \ the \ formulae \  : \  cos(2x) = 2cos^2(x) - 1} \ {and}  \ \ \sf \bold{sin(x) = 2 sin x cos x}

\rightarrow \sf cos(x) (2cos^2 (x) -1) -2(2sin(x)cos(x)sin(x))

\rightarrow \sf 2cos^3 (x) - cos(x) - 4sin^2(x) cos(x)

\rightarrow  \sf -5\cos \left(x\right)+6\cos ^3\left(x\right)

You might be interested in
Can you guys help me with this question
VLD [36.1K]

Answer:

2+2=4 quick mafs

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Plz help I don’t know the answer
Rudiy27

Answer:

0.95

Step-by-step explanation:

8-3.25=4.75

4.75÷5=0.95

5 0
3 years ago
If the digits of a number add up to 9, what number is it divisible by?
telo118 [61]

Answer:

It's divisible by 9

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The bus fare without a coupon book is $1.50 a coupon book cost $30.00, with the coupon book the fare is reduced $0.50. How many
valentina_108 [34]

Answer: the bus would be used 30 times for the monthly costs to be the same.

Step-by-step explanation:

Let x represent the number of times in a month for which the bus must be used so the total monthly cost is the same with the book as it is without it.

The bus fare without a coupon book is $1.50. This means that the total monthly cost of using the bus for x times without a coupon book is 1.5x

A coupon book cost $30.00 and with the coupon book, the fare is reduced $0.50. This means that the total monthly cost of using the bus for x times with a coupon book is

0.5x + 30

For the monthly costs to be the same,

1.5x = 0.5x + 30

1.5x - 0.5x = 30

x = 30

3 0
3 years ago
Can anyone please help ​
Sedaia [141]

Answer:

$210

Step-by-step explanation:

if she is selling each bar for 175% then she is also selling the pack for 175%.

Three packs is $120

Do 120* (1 + 0.75) = 210

4 0
2 years ago
Other questions:
  • I need help with 7 please
    15·1 answer
  • How much of his allowance did Nathan spend? Explain how you found your answer. WILL GIVE BRAINLIEST
    9·1 answer
  • What is a multiplication problem using two decimals that has a product greater than 0.1 but less than 0.2
    15·1 answer
  • What is the mean absolute deviation definition
    6·1 answer
  • To arrive to his appointment on time, Mr. Jones had to drive all the way from his home with the average speed of 60 mph. Due to
    15·1 answer
  • Solve the inequality and enter your solution as an inequality comparing the
    10·1 answer
  • If m ABC=3x and m BCD=6x, find x.
    6·1 answer
  • 。find the solution of the system of equations shown on the graph.<br> enter the correct answer ​
    15·1 answer
  • Use the binomial expression (p+q)^n to calculate a binomial distribution with n=5 and p=0.3.(Show all steps)
    5·1 answer
  • Solve for x. Round your answer to the nearest tenth.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!