Using the y=mx+b format
M= slope
B= y-intercept
All you need to do, since both m and b are given us to plug them in! You should commit “y=mx+b” to memory, it’ll help you a ton!
y = -2x+5
Answer:
Explanation to answers are shown in the attachment
Step-by-step explanation:
This is a long solution but the detailed step by step and appropriate mathematical manipulation has been done as shown in the attachment.
Answer:
(5x+1)(x - 2)
Step-by-step explanation:
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.
<span>(-45 + (-12) / 2 = -28.5
</span>So the answer is -28.5
