Derive cos (2x - 1)​

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

I believe that what you want to do here is to "differentiate" cos (2x - 1).

We must use the rule for differentiating cos x and also the chain rule, since the input to cos x here is (2x - 1).

(d/dx) is the derivative operator.

(d/dx) (cos x) = -sin x

(d/dx) cos (2x - 1) = - sin (2x - 1) * (d/dx) (2x -1) = -sin (2x - 1)(2) = -2sin (2x - 1)


Related Questions

The perimeter of a rectangle is 38 units. The length is 13 units longer than the width. What are the dimensions of the rectangle?
Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the relative frequency method for computing probability is used, the probability that the next customer will purchase a computer is
What two numbers is the square root of 74 between?​
Image attached please help!A) which answer choices are trueB) which inequality is shown on the graph?
Help me please need help

What is the answer to a

Answers

Answer: a = b*r/n

Step-by-step explanation: Hope this helps :^)

The attendance at Treeton Middle School was 2,465 on Monday. The attendance was tracked for the next two days. The change in attendance from the previous day is shown in the table.Which equation shows the attendance on Tuesday?

Answers

Answer:

2107.575

Step-by-step explanation:

Final answer:

To find the attendance on Tuesday, we need to add the change in attendance from Monday to Tuesday to the attendance on Monday.

Explanation:

The attendance at Treeton Middle School was 2,465 on Monday. The table shows the change in attendance from the previous day. To find out the attendance on Tuesday, we need to add the change in attendance from Monday to Tuesday to the attendance on Monday.

Change in attendance from Monday to Tuesday: -53
Attendance on Monday: 2,465

Attendance on Tuesday = Attendance on Monday + Change in attendance from Monday to Tuesday
Attendance on Tuesday = 2,465 + (-53) = 2,412

Therefore, the equation that shows the attendance on Tuesday is: Attendance on Tuesday = 2,412.

Learn more about Finding attendance on Tuesday here:

brainly.com/question/32435404

#SPJ3

. Chad's pay rate for babysitting is y = 9x, where x is the number of hours he babysits, and y is the number of dollars he earns. Horatio's pay rate is shown in the graph below. Horatio's Babysitting Pay Rate. Which of the following statements is true? * HORATIO'S BABYSITTING PAY RATE 100 90 80 70 60 Dollars Earned (8.60) 50 40 30 20 10 (4, 30) 0 1 2 3 4 5 6 7 8 9 10 Hours A. Chad makes $1.00 more per hour than Horatio. O B. Chad makes $1.50 more per hour than Horatio. C. Chad makes $1.00 less per hour than Horatio. D. Chad makes $1.50 less per hour than Horatio.​

Answers

Answer: Chad Makes $1.50 more

Step-by-step explanation:

You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped

Calculate|4+7π| . The absolute value of 4+7π is equal to the square root

Answers

|4 + 7π| = 4 + 7π

Absolute value means distance from 0, and the distance of 4 + 7π from 0 is 4 + 7π

Graph the following function and then find the specified limits. When necessary, state that the limit does not exist.f(x)equals=left brace Start 3 By 2 Matrix 1st Row 1st Column x minus 3 2nd Column if x less than 5 2nd Row 1st Column 2 2nd Column if 5 less than or equals x less than or equals 6 3rd Row 1st Column x plus 4 2nd Column if x greater than 6 EndMatrixx−3 if x<52 if 5≤x≤6x+4 if x>6;findModifyingBelow lim With x right arrow 5limx→5 f(x)andModifyingBelow lim With x right arrow 6limx→6 f(x)

Answers

If I'm reading the question right, you have

f(x)=\begin{cases}x-3&\text{for }x<5\n2&\text{for }5\le x\le6\nx+4&\text{for }x>6\end{cases}

and you have to find

\displaystyle\lim_(x\to5)f(x)\text{ and }\lim_(x\to6)f(x)

The limits exist if the limits from either side exist. We have

\displaystyle\lim_(x\to5^-)f(x)=\lim_(x\to5)(x-3)=2

\displaystyle\lim_(x\to5^+)f(x)=\lim_(x\to5)2=2

\implies\displaystyle\lim_(x\to5)f(x)=2

and

\displaystyle\lim_(x\to6^-)f(x)=\lim_(x\to6)2=2

\displaystyle\lim_(x\to6^+)f(x)=\lim_(x\to6)(x+4)=10

\implies\displaystyle\lim_(x\to6)f(x)\text{ does not exist}

Final answer:

The function f(x) is a piecewise function. The limit as x approaches 5 equals 2 and the limit as x approaches 6 does not exist as the values from both sides are not the same.

Explanation:

The function f(x) given is a piecewise function which is defined differently on different intervals of x.

First let's graph these three conditions:

  • For x < 5, f(x) = x - 3. It is a straight line that crosses the Y-axis at -3.
  • For 5 ≤ x ≤ 6, f(x) = 2. It is a horizontal line along the height of 2 from x=5 to x=6.
  • For x > 6, f(x) = x + 4. It is a straight line that crosses the Y-axis at 4.

Next, we'll find the specified limits:

  • limx→5 f(x): As x approaches 5, we will look at values from both sides. From the left (x < 5), it would be 5 - 3 = 2. From the right (5 ≤ x ≤ 6), f(x) = 2. The value is the same from both sides, so the limit as x approaches 5 equals 2.
  • limx→6 f(x): As x approaches 6, from the left (5 ≤ x ≤ 6), f(x) = 2. From the right (x > 6), it would be 6 + 4 = 10. The values are not the same from both sides, so the limit as x approaches 6 does not exist.

Learn more about Mathematical Limits here:

brainly.com/question/36891684

#SPJ11

Zach's baseball team is raising money for a charity. Zach is tasked with raising at least $250. If represents the amount of money Zach raises, which inequality represents this situation?a. x>250

b. x<_250

c. x>_250

d. x<250

Answers

Answer: x ≥ 250

Step-by-step explanation: