It’s either A or B but I would choose B as the correct answer
First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the TU and UF added up together to form a length of 32. In order to find TU, you have to subtract length of UF from 32 :
TU + UF = 32
TU + 20 = 32
TU = 32 - 20
TU = 12
Answer:
Average speed = 
miles per hour
Step-by-step explanation:
Formula to calculate the average speed of an object is,
Average speed = 
If I travel with the speed of x mph for t hours,
Total distance covered = Speed × Time
= 
= 
miles
Similarly, if I travel with the speed y mph for t hours,
Total distance covered = 
miles
Total distance covered by me = 
miles
Total time taken to cover this distance = 
= 
hours
Therefore, expression for the average speed will be,
Average speed = 
= 
= 
miles per hour
Answer: Apri
l is 17 and June is 10
Step-by-step explanation: I'm learning this in school
