Answer:
Y' = -xsin(2x) + 2cos(2x)
Step-by-step explanation:
For this problem, we will need to use the product rule since you have two terms that contain the variable x.
The product rule is simply as follows:
The derivative of the function is the product of the first term times the derivative of the second term plus the derivative of the first term times the second term.
Note the derivative of 2x with respect to x, is 2.
Note the derivative of cos(2x) with respect to x is (-1/2) sin(2x).
With this in mind, let's find the derivative of our function with respect to x.
Y = 2xcos2x
Y = 2x * cos(2x)
Y' = 2x * (-1/2)sin(2x) + 2 * cos(2x)
Y' = (2x * -1 / 2) sin(2x) + 2 * cos(2x)
Y' = (-x)sin(2x) + 2cos(2x)
So the derivative of our function is Y' = -xsin(2x) + 2cos(2x) according to the application of the product rule.
Cheers.
We see that the points of the graph of the function never attain a y-value of 0. Thus f is never equal to 0 for real numbers, hence we can disqualify all the necessary answers already (only answer not against this is 2). Nevertheless, we can show that this is the right answer. The graph is called a parabola, so it is represents a second order polynomial. These polynomials have either 2 real or 2 complex solutions. Since this does not have real solutions (at the lowest point of that polynomial the y-value is 4) the correct answer is b).
Answer:
<B
Step-by-step explanation:
The angle opposite the longest side has the largest measure
AC is the longest side so <B has the largest measure
Answer: she can rent the bike for a maximum of 13 hours.
Step-by-step explanation:
Let h represent the number of hours for which she rents the bike.
The equation used by Janis to find the total cost, C, in dollars, of renting a bike for h hours is expressed as
C = 4h + 8
If Janis does not spend more than $60, then it means that
4h + 8 ≤ 60
4h ≤ 60 - 8
4h ≤ 52
h ≤ 52/4
h ≤ 13
Therefore, the maximum number of hours for which she can rent the bike is 13.
