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.
All you have to do is divide the left side of the ratio by 5 and the right side of the ratio by 7. The one that comes out even on both sides is the correct one.
Answer:
x=15
Step-by-step explanation:
So we know 4x plus 8x gets a total of 180 degrees (since a straight line is 180 degrees). Combine 4x and 8x to get 12x. To find x, divide 12 from 180. 180/12 is 15.
First we identify the percent's as decimals
1%=0.01 64%=0.64
Then we multiply our decimals by 300
0.01 x 300 = 3 0.64 x 300 = 192
If you notice, 64 x 3 is equal to 192
64 x 3 = 192
So the answers are 3 and 192
(Hope this helps!)
