find the derivative of y=cos^2(5x^3-2x)

Answers

Answer 1

Step-by-step explanation:

Use power rule and chain rule.

y = cos²(5x³ − 2x)

dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)

dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)

Use double angle formula to simplify:

dy/dx = sin(10x³ − 4x) (2 − 15x²)


Related Questions

Determine whether the relation {(9, 3), (6,2), (3, 2), (3, 1), (6,-2)} is a function. Explain why/Why
not.

Answers

Answer:

Since x=3 produces y=2 and y=1, the relation (9,3),(6,2),(3,2),(3,1),(6,-2) is not a function

Step-by-step explanation:

Its right.


Write -0.32 as a fraction in simplest form.

Answers

Answer:

-0.32

-32/100

-8/25

Step-by-step explanation:

-8/25

your answer would be
-0.32= -8/25
BUT FRACTIONS CANT BE NEGATIVE SO...
it would be

8/25

How do you do this question? Im working from home and this is the teachers worked example.. with no workings on it Step by step, i need to know what to do for each question ( 1 - 3 )

Answers

Answer:

1: 30/ 2:15 / 3:10 / 4: 7.5 / 10: 3

Step-by-step explanation:

divide each day by the number of builders

solve the equation by finding the square roots
w^2-36=-64​

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : w^2-36-(-64)=0 Step by step solution : Step 1 : Polynomial Roots Calculator : 1.1 Find roots (zeroes) of : F(w) = w 2 +28 so the answer could be 2.176 or 30.

The average rate of change from x = 0 to x = 15 is about −4.667. How does the average rate of change from x = 0 to x = 20 compare to this number?
Suppose that the height of the slide is 2 feet, when x = 20. What is the average rate of change over the entire slide?

Answers

Answer:

-3.9

Step-by-step explanation:

just did it on edge, 2020

Answer:

-3.9

Step-by-step explanation:

-78/20 = -3.9

solve for k. k/2 +1/2=3

Answers

Answer:

[tex]k = 5[/tex]

Step-by-step explanation:

Solve for [tex]k[/tex] :

[tex]\frac{k}{2} + \frac{1}{2} = 3[/tex]

-Multiply both sides of the equation by the denominator [tex]2[/tex] :

[tex]2 \times \frac{k}{2} + \frac{1}{2} = 3 \times 2[/tex]

[tex]k + 1 = 6[/tex]

-Subtract both sides by [tex]1[/tex]:

[tex]k + 1 - 1 = 6 - 1[/tex]

[tex]k = 5[/tex]

So, the value of [tex]k[/tex] is [tex]5[/tex].

How many times greater is 100 billion to 1 million.?

Answers

Answer:

100 times

Step-by-step explanation:

Convert 100 kg into mg
help?

Answers

Answer:

100000000

Step-by-step explanation:

Find the value of the expression

Answers

Answer:

the value of the expression is 1

Step-by-step explanation: when you solve it step by step you get 1

An quadrilateral is graphed on the coordinate plane. One of its vertices is translated 5 units to the right. Which of the following options best represents the translation?

x + 5
x - 5
y + 5
y - 5

Answers

X+5 i think its right

Answer:

the answer is X+5

Step-by-step explanation:

hope this helps

For any two integers x and y, l x + y l = l x | + l y l

true or false?

Answers

true because of the absolute value bars

let f(x)=5x-2 and g (x)=6x+3 find g(f(3))​

Answers

Answer:

81

Step-by-step explanation:

f(x)=5x-2

g (x)=6x+3

g(f(3))​

First find f(3)

f(3) = 5*3 -2

    = 15-2

   = 13

Then find g(13)

 g(13) = 6*13 +3

       =78 +3

      = 81

 

Answer:

81

Step-by-step explanation:

Solve 3 as x

5(3)-2

15-2

143

Now use 13 as x

6(13)+3

78+3

81

Hope this helps! Plz award Brainliest : )

The greater of two consecutive EVEN numbers is 40 less than twice the smaller number. Find the larger number

Answers

Answer:

          44

Step-by-step explanation:

z -  some integer

2z - first given even integer (the smaller one)

2z+2 - even integer consecutive to 2z  (the larger one)

2(2z)    - twice the smaller number

2(2z) - 40    - the number 40 less than twice the smaller number

2(2z) - 40 = 2z + 2

4z - 40 = 2z + 2

2z = 42

 

2z+2 = 42+2 = 44

check:

2(2z)-40 = 2(42)-40 = 84-40 = 44

At 4pm the temp started to change drastically.each hours for 3 hours the temp decrease by 7 which expression best shows another way to write the product for temp change

Answers

The one you have selected is correct! One way you can single out the answer is because it can only have three 7s because it says 3 hours, and also because it is a decrease, so it needs to be negative.

Answer: C

Step-by-step explanation:

:)

Given the points below, find XY. Round to
the nearest hundredth.
X(-8, 2) and Y(7,-4)

Answers

Answer: 16.16  

Step-by-step explanation:

xy in this situation, will be the distance between the two points.

(-8,2) (7,-4)    Find the distance between the points

To ind the distance, find the difference in the x and y values,square them and add them to find the obtained number square root.

2-(-4) =  6

-8 - 7 = -15

6^2 + (-15)^2 = d^2 where d is the distance

36 + 225 = d^2

 261 = d^2

d= [tex]\sqrt{261}[/tex]

d= 16.1554  rounded to the nearest hundredth is 16.16

distribute the following expression 4 ( g + 9 ) PLEASE PLEASE PLEASE SHOW YOUR WORK

Answers

Answer:

4g+36

Step-by-step explanation:

4 X g = 4g

4x9 = 36


How do you write 2.745 in words?

Answers

Two point seven four five

what is the solution to 4x-14+3x=161

Answers

Answer:

x = 175/7

Step-by-step explanation:

Combining the like terms in 4x-14+3x=161, we get

7x = 175, and so:

x = 175/7

Which is a counterexample for the conditional statement shown?
If the numerator of a fraction is larger than the denominator of the fraction, then the fraction is greater than 1.

any fraction with a denominator of O

any fraction with a numerator of O

any fraction with a positive numerator and a negative denominator

any fraction with a negative numerator and a positive denominator

Answers

Answer: It is c

Step-by-step explanation: Im doing the test and did some research.

But if you are seweing this on 9/22/2020 please wait for me to put the confirmed answer in the comments.

Answer:

It's c

Step-by-step explanation:

Write an equation in slope intercept form for the line that has a slope of -4 and passes through the point (1,2)

Answers

Answer:

y=-4x+6

Step-by-step explanation:

what you have to do for this problem you have take the point 1,2 slide it over to the left one since the slope is negative and up 4 then you do that till you cross the y axis, but in this case you only have to do it once

Evaluate the expression.
3 (x + y), x = 5 and y = 2

Answers

Answer:

put x and y value in equation 1

3 (5+2)

3 (7)

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Solve for a.
2a - 8 = - 36

Answers

Answer:

[tex] - 14[/tex]

Step-by-step explanation:

[tex]2a = - 36 + 8[/tex]

When the - 8 is moved after the equals.. It changes sign

[tex]2a = - 28[/tex]

[tex]a = \frac{ - 28}{2} [/tex]

[tex]a = - 14[/tex]

Double check

[tex]2( - 14) - 8 = - 36[/tex]

You can try this in calculator also

Hope this is correct and helpful

HAVE A GOOD DAY!

The graph shows the relationship between time, in hours, and the population, in thousands of a culture of bacteria.
+
45
40
35
30
Population
25
20
15
10
5
0 1 2 3 4 5 6 7 8
Time (hours)
which statement describes the meaning of the point (010) on the graph?
A After 10 hours there are 10.000 bacteria.
B. After 10 hours there are no more bacteria
C The population began with 10,000 bacteria
D. The population is multiplying itself by 10 each hour

Answers

Answer:

Option (C)

Step-by-step explanation:

From the graph attached in the picture,

Graph shows the relationship between time and the population of a culture of bacteria.

Option (A).

After 10 hours there are 10000 bacteria.

Since, at t = 0, number of bacteria = 10000.

False.

Option (B).

After 10 hours there are no more bacteria.

Since, from the given graph bacteria population is increasing exponentially every hour.

Therefore, from t = 0, where the population was 10000, bacteria will be much more in the numbers.

False.

Option (C).

The population began with 10000 bacteria.

True.

Option (D).

The population is multiplying itself by 10 each hour.

Since, growth is exponential therefore, bacteria population is growing faster.

False.

Option (C) is the answer.

solve for x~ 1/2(8x + 20) = 18​

Answers

Answer:

x = 2

Step-by-step explanation:

[tex]\frac{1}{2}(8x+20)=18\\\\ 4x+10=18\\\\4x+10-10=18-10\\\\4x=8\\\\\frac{4x=8}{4}\\\\\boxed{x=2}[/tex]

Hope this helps.

HEY HEY HEYYYYY...............BITCONEEEEEEEEEEECT! 9*10^8/4*10^6 in Scientific Notation (I'll post another if this one is answered. Im strugglin.)

Answers

Answer:

[tex]225[/tex]

Step-by-step explanation:

[tex]\frac{9\cdot \:10^8}{4\cdot \:10^6}=\frac{9\cdot \:10^{8-6}}{4}=\frac{10^2\cdot \:9}{4}[/tex]

[tex]\frac{10^2\cdot \:9}{4}=\frac{2^2\cdot \:5^2\cdot \:9}{2^2}[/tex]

Cancel out common factor:

[tex]5^2\cdot \:9=25\cdot \:9=225[/tex]

Hannah earned money for mowing the lawn. She buys 4 candy bars with the money she earned. Each candy bar costs $2.


How much money did Hannah earn for mowing the lawn, in dollars?

Answers

Answer:$8

Step-by-step explanation:

If you multiply 2(the amount of the candy bars cost) and 4(the amount of candy bars bought) you get the amount that it cost total. ($8)

Answer:

$8 I did this on fast bridge testing

Step-by-step explanation:

Given h(x) = -x - 5, find h(0)​

Answers

Answer:

-5

Step-by-step explanation:

you plug in zero for x and then just solve.

h(0)=-0-5

=-5

Steps:
h(0) = -(0)-5
-(0)-5
0-5
-5

-1220 estimated to the nearest integer

Answers

Answer:

1000

Step-by-step explanation:

1 is the nearest in 1.2

What is the reasoning?

Answers

Answer:

yes, i agree. the right angle is 90 and 90+90=180. The law of the congruent angle states that if one angle in a the plane is right then the other connected must be as well, making line L 180.

Step-by-step explanation:

i badly explained it however you should get the answer correct with that. i think... use your brain in addition to mine.

is this a function graph?​

Answers

Answer:

No, this is a relation

Step-by-step explanation:

You can do a vertical line test to see if a function is actually a function or not. Simply draw vertical lines over the graph

If the x-value has 2 or more y values then it is NOT A FUNCTION

Answer:

No! This is not a function.

Step-by-step explanation:

If you write a vertical line through the graph, it will cross through it twice. That means it's NOT a function graph.

Other Questions
3x4+10-5+20-5+15-19+5+100+1,000+20+70+1-12+780 What statement best describes the term civic responsibilities? aThey are the duties related to being a good citizen bThey mean that laws apply to all citizens equally cThey mean that states must provide services to their citizens dThey are rights guaranteed to each citizen by the Bill of Rights How does wind and water circulate the globe? Find the sample variance and standard deviation.4, 57, 10, 51, 37, 22, 31, 30, 26, 29 In Activity A, you explored photosynthesis in a pond. The dissolved oxygen in a pond isproduced by pond plants and algae (small, plant-like organisms) in a process calledphotosynthesis.What is the source of energy that is present during the time that photosynthesis takesplace? The distance between (-4,6) and (3,-7) Which general served as supreme commander of the allied forces for dday How did rice become an important agricultural product of south carolina When Free Trade Agreements are negotiated:___________ 9a-ab+5b if a=2 and b=7 The problem of univariance refers to the fact that:_____.a. we have three types of cones in our visual system.b. an infinite set of different wavelength-intensity combinations can elicit the same response from a single type of photoreceptor.c. an infinite numbers of colors exist in the real world. Drag and drop the correct number to complete the equation. 434234=Response area Drag and drop the correct number to complete the equation. 434234=Response area Which expression shows 27 + 36 as the product of their greatest common factor and the sum of two whole numbers with no common factor? 7(3+6) 9(3+4) 9(4+5) 7(4+5) Two points along a wire are labeled Xand Y. The current is measured to be iXY= 3A.The reference direction of iXY is defined by double-subscript notation. a. In which direction are electrons flowing? From X to Y, or from Y to X? b. How much charge (in coulombs) passes through a cross section of the wire in 5 seconds? what were Caddo famous for Error Corection-Environment plz help I will mark you brainlist plz What is another name for angle 1? Anyone know the answer to 13x-4=11x+10-8 Why is a control group important?A.It is used to see if the experimental group causesa change.B.It changes all the time, allowing us to see if theexperimental group stays the same what is 343 in simplest form